Properties of the Number 18832

Eighteen Thousand Eight Hundred Thirty-Two

Basics

Value: 18831 → 18832 → 18833

Parity: even

Prime: No

Previous Prime: 18803

Next Prime: 18839

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 11 × 107

Divisors: 1, 2, 4, 8, 11, 16, 22, 44, 88, 107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100110010000

Octal: 44620

Duodecimal: AA94

Hexadecimal: 4990

Square: 354644224

Square Root: 137.22973438726754

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 1/((1+x)*(1-x)⁶). A1753

T(n,k) is the number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A235301

Numbers k such that k divides A243071(k). A364497

Reversion of x - x² - x³ - x⁴. A63018

Number of partitions where the number of 1's and 2's are equal. A174455

Expansion of e.g.f. exp( x - LambertW(-2·x)/2 ). A372315

Number of n X 5 0..1 arrays with rows unimodal and columns nondecreasing. A225007

Number A(n,k) of unimodal functions f:[n]->[k·n]; square array A(n,k), n>=0, k>=0, read by antidiagonals. A226031

Number of nonnegative solutions to (x₁)² + (x₂)² + ... + (x₈)² <= n. A341403

Number of unimodal functions f:[n]->[2n]. A226012