Properties of the Number 88832

Eighty-Eight Thousand Eight Hundred Thirty-Two

Basics

Value: 88831 → 88832 → 88833

Parity: even

Prime: No

Previous Prime: 88819

Next Prime: 88843

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁸ × 347

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 256, 347

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101101100000000

Octal: 255400

Duodecimal: 434A8

Hexadecimal: 15b00

Square: 7891124224

Square Root: 298.0469761631545

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

Number of labeled ordered partitions of an n-set into odd parts. A6154

Number of integer partitions of n whose number of nontrivial submultisets is greater than their number of distinct parts times their number of parts minus 1. A328960

Triangle of coefficients of polynomials P_n(z) defined by the recursion P₀(z) = z+1; for n>=1, P_n(z) = z + ∏_k=0..n-1 P_k(z). A177701

Number of 4-ary rooted trees with n nodes and height exactly 6. A36630

Numbers k whose abundance is 4: σ(k) - 2·k = 4. A88832

a(n) = n! * ∑_{0<=i<=j<=k<=n, i+j+k<=n} 1/(i!*j!*k!). A76177

E.g.f. satisfies: A(x) = 1/(1 - sinh(x·A(x))). A201628

Number of nX5 0..2 arrays with no element equal to one or three horizontal or vertical neighbors, with new values 0..2 introduced in row major order. A241105