Properties of the Number 46530

Forty-Six Thousand Five Hundred Thirty

Basics

Value: 46529 → 46530 → 46531

Parity: even

Prime: No

Previous Prime: 46523

Next Prime: 46549

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 11 × 47

Divisors: 1, 2, 3, 5, 6, 9, 10, 11, 15, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010111000010

Octal: 132702

Duodecimal: 22B16

Hexadecimal: b5c2

Square: 2165040900

Square Root: 215.7081361469706

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

Exponential transform of binomial(n,4) = A000332. A145454

Expansion of g.f. A(x) satisfying A(x) = A( x³ + 3·x²*A(x)² )^1/3, with A(0)=0, A'(0)=1. A370440

E.g.f.: exp(1/4! * x⁴ * exp(-x)). A292912

Expansion of e.g.f. -log( 1 - x⁴ * exp(x) / 4! ). A346755

Number of (w,x,y,z) with all terms in {0,...,n} and |w-x|=max{w,x,y,z}-min{w,x,y,z}. A212755

Number of symmetric primitive Lucas strings of length n. A250112

Figurate numbers based on the 11-dimensional regular convex polytope called the 11-dimensional cross-polytope, or 11-dimensional hyperoctahedron. A300624

Numbers k such that k divides the sum of the digits of k^2k. A108859

a(0) = 1, a(n) = (2·n⁵ + 20·n³ + 23·n) * 2/15 for n>=1. A364429

Number of distinct cubic residues mod n. A46530