Properties of the Number 48657

Forty-Eight Thousand Six Hundred Fifty-Seven

Basics

Value: 48656 → 48657 → 48658

Parity: odd

Prime: No

Previous Prime: 48649

Next Prime: 48661

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 ² × 331

Divisors: 1, 3, 7, 21, 49, 147, 331, 993, 2317, 6951

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111000010001

Octal: 137021

Duodecimal: 241A9

Hexadecimal: be11

Square: 2367503649

Square Root: 220.58331759224222

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

Expansion of ∏_k>=1 (1 + x^2·k)^2·k/(1 + x^2·k-1)^2·k-1. A284474

a(n) = 36·n² - 17·n + 2. A157265

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹⁵ in powers of x. A47640

Numbers k which can be split into two numbers·and y such that x³ + y² is a multiple of k. A162451

Number of length-5 0..n arrays with no following elements larger than the first repeated value. A267473

T(n,k)=Number of length-n 0..k arrays with no following elements larger than the first repeated value. A267471

Number of non-unitary divisors of n!. A48657