Properties of the Number 52609

Fifty-Two Thousand Six Hundred Nine

Basics

Value: 52608 → 52609 → 52610

Parity: odd

Prime: Yes

Previous Prime: 52583

Next Prime: 52627

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 52609

Divisors: 1, 52609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110110000001

Octal: 146601

Duodecimal: 26541

Hexadecimal: cd81

Square: 2767706881

Square Root: 229.36651891677653

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 representations of n as a sum of products of distinct pairs of positive integers, considered to be equivalent when terms or factors are reordered. A211856

Least prime in A031936 (lesser of 18-twins) whose distance to the next 18-twin is 2·n. A52358

Total number of preferential arrangements of 1, 2, ..., n things. A239914

Primes of the form 384·k + 1. A229854

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 18. A31606

G.f. satisfies: A(x) = exp( ∑_n>=1 C(2·n,n)/2·A(xⁿ) * xⁿ/n ). A199137

Preferential arrangements of 1, 2, 3, ... things in one-line notation, arranged lexicographically. A240763

a(n) = (2·n - 2)*n!. A52609