Properties of the Number 49131

Forty-Nine Thousand One Hundred Thirty-One

Basics

Value: 49130 → 49131 → 49132

Parity: odd

Prime: No

Previous Prime: 49123

Next Prime: 49139

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 53 × 103

Divisors: 1, 3, 9, 53, 103, 159, 309, 477, 927, 5459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111111101011

Octal: 137753

Duodecimal: 24523

Hexadecimal: bfeb

Square: 2413855161

Square Root: 221.6551375447905

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

Numbers n such that A003144(n) = floor(α*n) + 1, where α = 1.839... is the positive real zero of x³-x²-x-1. A275158

L.g.f.: ∑_n>=1 x^(2·n-1²) / ( (2·n-1) * (1 - x^2·n)^2·n-1 ). A293598

Group the composite numbers so that the sum of the n-th group is a multiple of the n-th prime: (4), (6), (8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22), (24, 25), (26, 27, 28, 30, 32), (33, 34, ...), ... Sequence gives sum of n-th group. A74124

Number of 2 X n 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241055

Table read by antidiagonals: T(n,k) (n >= 3, k >= 0) is the number of cells in a regular n-gon after k generations of mitosis. A350000

Revert transform of (1 + 2x - x²)/(1 + 3x + 2x² + x³). A49131