Properties of the Number 57402

Fifty-Seven Thousand Four Hundred Two

Basics

Value: 57401 → 57402 → 57403

Parity: even

Prime: No

Previous Prime: 57397

Next Prime: 57413

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 1063

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 1063, 2126

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000000111010

Octal: 160072

Duodecimal: 29276

Hexadecimal: e03a

Square: 3294989604

Square Root: 239.5871448972169

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 every orderless pair of distinct parts has a different sum. A325857

E.g.f.: exp(exp(2*(exp(x) - 1)) - 1). A346417

a(n) = ∑_i=1..n ∑_j=1..n ∑_k=1..n φ(i·j*k) / φ(j·k). A372663

Triangle read by rows: T(n,k) is the number of permutations of the cyclic group Z/nZ whose longest embedded arithmetic progression has length k. A339942

Low-temperature magnetization expansion for Kagome net (Potts model, q=4). A57402