Properties of the Number 89296

Eighty-Nine Thousand Two Hundred Ninety-Six

Basics

Value: 89295 → 89296 → 89297

Parity: even

Prime: No

Previous Prime: 89293

Next Prime: 89303

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 5581

Divisors: 1, 2, 4, 8, 16, 5581, 11162, 22324, 44648, 89296

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101110011010000

Octal: 256320

Duodecimal: 43814

Hexadecimal: 15cd0

Square: 7973775616

Square Root: 298.82436312991615

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+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252334

Position of first occurrence of n consecutive equal digits in the decimal expansion of e starting after the decimal point. A244601

Expansion of ∏_k>=1 ((1 + 2·x^k)/(1 - 2·x^k))^k. A261563

Number of n X 2 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1 or 3 1s. A295247

Number of n X 1 0..2 arrays with no average of any element and its horizontal and vertical neighbors equal to one. A200572

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252328

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252333

Number of length-n binary words having no palindromes of length > 5 as contiguous subwords. A329824

Maximum prime required in the representation of the square of the n-th prime A000040(n) by a signed sum of squares of distinct other primes minimizing the largest prime used in the sum. A89296