Properties of the Number 57529

Fifty-Seven Thousand Five Hundred Twenty-Nine

Basics

Value: 57528 → 57529 → 57530

Parity: odd

Prime: Yes

Previous Prime: 57527

Next Prime: 57557

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 57529

Divisors: 1, 57529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000010111001

Octal: 160271

Duodecimal: 29361

Hexadecimal: e0b9

Square: 3309585841

Square Root: 239.8520377232597

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Balanced primes of order fourteen. A300365

Primes that do not divide any term of the Lucas 5-step sequence A074048. A106301

Primes of the form (k+1)*prime(k) + k·prime(k+1). A97241

Primes p such that p,q,r,s are consecutive primes and 2p+9, 2q+9, 2r+9, 2s+9 are also primes. A190354

a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd order and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0, except that H+H contains all of (Z/pZ)\0 except -H. If no such prime exists, a(n) = 0. A294615

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 205", based on the 5-celled von Neumann neighborhood. A270730

Numbers n with property that n is divisible by the number of divisors of n and by the sum of the digits of n. A57529