Properties of the Number 57463

Fifty-Seven Thousand Four Hundred Sixty-Three

Basics

Value: 57462 → 57463 → 57464

Parity: odd

Prime: No

Previous Prime: 57457

Next Prime: 57467

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 × 8209

Divisors: 1, 7, 8209, 57463

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000001110111

Octal: 160167

Duodecimal: 29307

Hexadecimal: e077

Square: 3301996369

Square Root: 239.71441341729954

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 partitions p of n such that (maximal multiplicity of the parts of p) > (number of distinct parts of p). A240309

a(1) = 1 and for n > 1 let a(n) = a(n-1) + m, where m is the arithmetic mean of the largest subset of all predecessors such that m is an integer and m is maximal. A63676

a(n) = ∑_{k=0..floor(n/2)} (k+1) * binomial(k,n-2·k)². A375218

E.g.f. A(x) satisfies A(x) = exp(x·A(x)/A(-x·A(x))). A385058

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A385058. A385061

Numbers k such that x^k + x⁴ + 1 is irreducible over GF(2). A57463