Properties of the Number 52624

Fifty-Two Thousand Six Hundred Twenty-Four

Basics

Value: 52623 → 52624 → 52625

Parity: even

Prime: No

Previous Prime: 52609

Next Prime: 52627

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 11 × 13 × 23

Divisors: 1, 2, 4, 8, 11, 13, 16, 22, 23, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100110110010000

Octal: 146620

Duodecimal: 26554

Hexadecimal: cd90

Square: 2769285376

Square Root: 229.39921534303468

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

Coefficient of x⁸ in expansion of (1+x+x²)ⁿ. A5716

First row of Modified Schroeder numbers for q=9 (A114295). A114299

Cubeful numbers whose neighbors are also cubeful. A122692

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+569)² = y². A101152

Form array in which n-th row is obtained by expanding (1+x+x²)ⁿ and taking the 5th column from the center. A98470

G.f.: x² * f''(x), where f(x) = ∏_k>=1 (1 + x^k). A278407

G.f.: Limit_K->oo ∑_n=-oo..+oo x^n-K * (1 - xⁿ + n*(n+1)/6·x^n+K)ⁿ. A292177

Maximum number of copies of a 12345 permutation pattern in an alternating (or zig-zag) permutation of length n + 7. A339355

Irregular triangle read by rows: T(n,m) = number of lattice paths of type A^H terminating at point (n, m). A291081

a(n) is the sum of all products of pairs of numbers joined by the diagonals of an n-gon when its vertices are numbered from 1 to n in order. A337130