Properties of the Number 45189

Forty-Five Thousand One Hundred Eighty-Nine

Basics

Value: 45188 → 45189 → 45190

Parity: odd

Prime: No

Previous Prime: 45181

Next Prime: 45191

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5021

Divisors: 1, 3, 9, 5021, 15063, 45189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000010000101

Octal: 130205

Duodecimal: 22199

Hexadecimal: b085

Square: 2042045721

Square Root: 212.5770448566825

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

Triangle read by rows, s₄(n, k) where s_m(n, k) are the Stirling-Frobenius cycle numbers of order m; n >= 0, k >= 0. A225471

G.f. A(x) satisfies x = A( x - A(x)³/x ). A213639

a(n) = n*(7·n² - 3·n - 1)/3. A214659

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of (B(x)/x)^k, where B(x) is the g.f. of A213639. A384620

Number of 3 X n 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281471

Column k = 1 of the triangle A225471; Sheffer ((1 - 3·x)^-3/4, (-1/4)*log(1 - 4·x)). A286723

Numbers whose base-5 representation contains no 0's and exactly two 3's. A45189