Properties of the Number 88488

Eighty-Eight Thousand Four Hundred Eighty-Eight

Basics

Value: 88487 → 88488 → 88489

Parity: even

Prime: No

Previous Prime: 88471

Next Prime: 88493

Digit Sum: 36

Digital Root: 9

Palindrome: Yes

Factorization: 2 ³ × 3 ² × 1229

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101100110101000

Octal: 254650

Duodecimal: 43260

Hexadecimal: 159a8

Square: 7830126144

Square Root: 297.46932614977294

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

Palindromes n such that n and n² have same digit sum. A58852

Numbers having four 8's in base 10. A43524

a(n) = 8*(10^2·n+1 - 1)/9 - 4·10ⁿ. A332184

Number of degree-n permutations such that number of cycles of size 2k is even (or zero) and number of cycles of size 2k-1 is odd (or zero), for every k. A131526

Number of (n+2)X(3+2) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order. A231436

Convolution of natural numbers >= 2 and Lucas numbers. A23549

Palindromes which are the concatenation of 3 or more terms of an arithmetic sequence with nonzero difference. A62564

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..3 introduced in row major order. A231441

a(n) = ∑_k=1..8 floor(A254876(n,k)/A254876(n-1,k)), where A254876(n,k) = n! / (∏_{m=(n-floor((2n)/(3^k))) .. (n-floor((n)/(3^k)))} m). A88488

In base 10 lunar arithmetic, a(n) is the smallest number than has exactly n different square roots (or -1 if no such number exists). A202174