Properties of the Number -38880

Thirty-Eight Thousand Eight Hundred Eighty

Basics

Value: -38881 → -38880 → -38879

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ⁵ × 5

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1001011111100000

Octal: -113740

Duodecimal: -1A600

Hexadecimal: -97e0

Square: 1511654400

Square Root: 197.1801207018598

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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: terms of a binomial decomposition of 1 as Sum(k=0..n)T(n,k). A244119

Triangle read by rows: coefficients T(n,k) of a binomial decomposition of n as Sum(k=0..n)T(n,k)*binomial(n,k). A244132

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. (1 + x)^{x^k}. A355607

Expansion of e.g.f. ( (1+x)^x )^x. A7121

E.g.f.: A(x,y) = LambertW(x·y*exp(x))/(x·y*exp(x)), as a triangle of coefficients T(n,k) = [xⁿ*y^k/n! ] A(x,y), read by rows. A161628

Triangular sequence of coefficients of p(x,t) = t·exp(3·x*t - t²)/(exp(t) - 1). A137784

a(n) = ∑_k=0..2n (k+1) * A026519(n, k). A27266

a(n) = ∑_k=0..2n (k+1) * A026552(n, k). A27276

When expressed in base 2 and then interpreted in base 3, is a multiple of the original number. A62845

Number T(n,k) of permutations p of [n] such that |p(i+k) - p(i)| <> k for i in [n-k]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A333706