Properties of the Number 57406

Fifty-Seven Thousand Four Hundred Six

Basics

Value: 57405 → 57406 → 57407

Parity: even

Prime: No

Previous Prime: 57397

Next Prime: 57413

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 28703

Divisors: 1, 2, 28703, 57406

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000000111110

Octal: 160076

Duodecimal: 2927A

Hexadecimal: e03e

Square: 3295448836

Square Root: 239.5954924450792

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

G.f. A(x) satisfies A(x)² = 1 + x + x·A(x)⁷. A295537

Number of directed animals on a certain lattice. A11792

Number of partitions p of n such that 4·min(p) is a part of p. A238591

Engel expansion of π²/6, or ζ(2) = 1.64493. A59186

a(n) = ∑_i=1..n ∑_j=1..n ∑_k=1..n φ(i·j*k). A372661

a(n) = [(x·y)ⁿ] ∏_k>=1 (1 - x^k - y^k)^k. A381011

Number of self-avoiding polygons of area n with one (self-avoiding polygon) hole on square lattice (not allowing rotations). A57406