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Properties of the Number 48360

Forty-Eight Thousand Three Hundred Sixty

Basics

Value: 48359 → 48360 → 48361

Parity: even

Prime: No

Previous Prime: 48353

Next Prime: 48371

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 3 × 3 × 5 × 13 × 31

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011110011101000

Octal: 136350

Duodecimal: 23BA0

Hexadecimal: bce8

Square: 2338689600

Square Root: 219.90907211845536

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

Let p = A002145(n) be the n-th prime == 3 (mod 4); a(n) is the multiplicative order of 2+-i modulo p in Gaussian integers. A385165
a(n) = number of Egyptian fractions 1 = 1/x1 + ... + 1/xk (for any k), 0<x1<...<xk<=n. A92670
Number of regular tetrahedra in an n-node-per-edge tetrahedral grid. A269747
Numbers n such that σ(n) = 14*φ(n) (where σ=A000203, φ=A000010). A171259
G.f. A(x) satisfies: 4n - 1 = ∑k=0..n [xk] A(x)n and also satisfies: (4+z)n - (1+z)n + zn = ∑k=0..n [xk](A(x)+z·x)n for all z, where [xk] A(x)n denotes the coefficient of xk in A(x)n. A100228
a(n) = 121·n2 - 2·n. A157040
a(n) = 1728·n - 24. A157287
Non-primitive balanced numbers: balanced numbers of the form m·n where m, n > 1 are both balanced. A291566
a(n) = ∑d∣n sigmad(d)n/d. A359053
Triangle read by rows: coefficients η(n,k) arising from the study of completely transitive graphs on n nodes. A259970