Properties of the Number 89856

Eighty-Nine Thousand Eight Hundred Fifty-Six

Basics

Value: 89855 → 89856 → 89857

Parity: even

Prime: No

Previous Prime: 89849

Next Prime: 89867

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ⁸ × 3 ³ × 13

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111100000000

Octal: 257400

Duodecimal: 44000

Hexadecimal: 15f00

Square: 8074100736

Square Root: 299.7599039231231

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 subsets of integers 1 through n (including the empty set) containing no pair of integers that share a common factor. A84422

a(n) = φ(Fibonacci(n)). A65449

Sum of all squarefree numbers with greatest prime factor prime(n). A339360

Decuple factorial, 10-factorial, n!10, n!!!!!!!!!!. A288327

Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y<=3z. A212517

Number of integer partitions λ (of any k) satisfying n = max_p:λ p·m(p,λ), where m(p,λ) is the multiplicity of part p in λ. A332233

Numbers n such that the digital sum of n is the same as the digital sum of n² in both base 2 and base 10. A261640

a(n) = n! * ∑_d∣n n^d / d!. A336999

Involution of natural numbers induced by Catalan Automorphism·A089856 acting on the binary trees/parenthesizations encoded by A014486/A063171. A89856

T(n,k)=Number of 0..3 colorings of an nx(k+1) array circular in the k+1 direction with new values 0..3 introduced in row major order. A214112