54829 (number)
54,829 (fiftyfour thousand eight hundred twentynine) is an odd fivedigits prime number following 54828 and preceding 54830. In scientific notation, it is written as 5.4829 × 10^{4}. The sum of its digits is 28. It has a total of 1 prime factor and 2 positive divisors. There are 54,828 positive integers (up to 54829) that are relatively prime to 54829.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 28
 Digital Root 1
Name
Short name  54 thousand 829 

Full name  fiftyfour thousand eight hundred twentynine 
Notation
Scientific notation  5.4829 × 10^{4} 

Engineering notation  54.829 × 10^{3} 
Prime Factorization of 54829
Prime Factorization 54829
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  54829  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.911974530041  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 54,829 is 54829. Since it has a total of 1 prime factor, 54,829 is a prime number.
Divisors of 54829
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  54830  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  27415  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  234.155930952  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999635236185  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 54,829 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 54,829) is 54,830, the average is 27,415.
Other Arithmetic Functions (n = 54829)
φ(n)  Euler Totient  54828  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  54828  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5573  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 54,828 positive integers (less than 54,829) that are coprime with 54,829. And there are approximately 5,573 prime numbers less than or equal to 54,829.
Divisibility of 54829
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  4  1  5  5  1 
54,829 is not divisible by any number less than or equal to 9.
Classification of 54829
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (54829)
Base  System  Value 

2  Binary  1101011000101101 
3  Ternary  2210012201 
4  Quaternary  31120231 
5  Quinary  3223304 
6  Senary  1101501 
8  Octal  153055 
10  Decimal  54829 
12  Duodecimal  27891 
16  Hexadecimal  d62d 
20  Vigesimal  6h19 
36  Base36  16b1 
Basic calculations (n = 54829)
Multiplication
n×yn×2  109658 

n×3  164487 
n×4  219316 
n×5  274145 
Division
n÷yn÷2  27414.500 

n÷3  18276.333 
n÷4  13707.250 
n÷5  10965.800 
Exponentiation
n^{y}n^{2}  3006219241 

n^{3}  164827994764789 
n^{4}  9037354124958616081 
n^{5}  495509089317355961105149 
Nth Root
^{y}√n^{2}√n  234.155930952 

^{3}√n  37.990071274909 
^{4}√n  15.302154454586 
^{5}√n  8.8675177203204 
54829 as geometric shapes
Circle
Radius = nDiameter  109658 

Circumference  344500.76720735 
Area  9444316282.6059 
Sphere
Radius = nVolume  6.9042988994533E+14 

Surface area  37777265130.424 
Circumference  344500.76720735 
Square
Length = nPerimeter  219316 

Area  3006219241 
Diagonal  77539.915411354 
Cube
Length = nSurface area  18037315446 

Volume  164827994764789 
Space diagonal  94966.613728194 
Equilateral Triangle
Length = nPerimeter  164487 

Area  1301731116.0258 
Altitude  47483.306864097 
Triangular Pyramid
Length = nSurface area  5206924464.1031 

Volume  19425165471261 
Height  44767.691035686 
Cryptographic Hash Functions
md5  c44d2d03567dbfe216ec0184e66a66f4 

sha1  db4492921ee0119e299469750dd9defc4fc235e7 
sha256  666f432dbf0d66ad3233fcc578dc18e79884e13fde8b970456fef00f834a2a08 
sha512  f5b593751250f686c4e509d4005abe81d11c3689db96a08a246a0533e4791a25ea931069d006d731215c5dd1dd532e1873cbc9bde2704c63ea123007bfac06d3 
ripemd160  f376897d9a1f0e87e8507d875cbdc4eceb3dbd14 