Properties of the Number 89472

Eighty-Nine Thousand Four Hundred Seventy-Two

Basics

Value: 89471 → 89472 → 89473

Parity: even

Prime: No

Previous Prime: 89459

Next Prime: 89477

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁷ × 3 × 233

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110110000000

Octal: 256600

Duodecimal: 43940

Hexadecimal: 15d80

Square: 8005238784

Square Root: 299.1187055334387

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

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change (+-,+-) 0,2 1,1 or 1,0. A263973

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300804

Number of compositions of n into distinct parts where each part i is marked with a word of length i over a k-ary alphabet (k=1,2,3,...) whose letters appear in alphabetical order and all k letters occur at least once in the composition. A261838

a(n) is the number of quadruples (a₁, a₂, a₃, a₄) having all terms in {1,...,n} such that there exists a quadrilateral with these side lengths. A346636

Number of binary strings of length n with equal numbers of 01001 and 10010 substrings. A164259

Number of (n+1) X (5+1) arrays of permutations of 0..n·6+5 with each element having index change (+-,+-) 0,2 1,1 or 1,0. A263972

Number of (2+1)X(n+1) arrays of permutations of 0..n·3+2 with each element having index change (+-,+-) 0,2 1,1 or 1,0. A263974

Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300799

Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300802

Number of different values taken by the determinant of a real (0,1)-matrix of order n. A89472