Properties of the Number 52897

Fifty-Two Thousand Eight Hundred Ninety-Seven

Basics

Value: 52896 → 52897 → 52898

Parity: odd

Prime: No

Previous Prime: 52889

Next Prime: 52901

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 13 ² × 313

Divisors: 1, 13, 169, 313, 4069, 52897

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111010100001

Octal: 147241

Duodecimal: 26741

Hexadecimal: cea1

Square: 2798092609

Square Root: 229.99347816840373

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

Number of integer partitions of n such that it is not possible to choose a different prime factor of each part. A370593

Number of paraffins (see Losanitsch reference for precise definition). A6010

Positive numbers y such that y² is of the form x²+(x+313)² with integer x. A160574

Number of (n+1)X(3+1) arrays of permutations of 0..n·4+3 with each element having directed index change -2,-2 -1,0 0,1 or 1,0. A264529

The sum of the numbers of the central diamond of the multiplication table [1..k] X [1..k] for k=2·n-1. A357042

Numbers k that divide 8^k + 7^k + 6^k + 5^k. A57243

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -2,-2 -1,0 0,1 or 1,0. A264534

Expansion of e.g.f.: exp(2·x/(1-x)). A52897