Properties of the Number 45188

Forty-Five Thousand One Hundred Eighty-Eight

Basics

Value: 45187 → 45188 → 45189

Parity: even

Prime: No

Previous Prime: 45181

Next Prime: 45191

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 11 × 13 × 79

Divisors: 1, 2, 4, 11, 13, 22, 26, 44, 52, 79

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000010000100

Octal: 130204

Duodecimal: 22198

Hexadecimal: b084

Square: 2041955344

Square Root: 212.57469275527603

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

Numbers k such that k² divides 21^k-1. A128401

G.f. A(x) satisfies A(x) = 1 + x·A(x)*(1 + x⁴*A(x)⁵). A365760

Number of isoscent sequences of length n with maximal number of descents. A243484

Numbers n such that n⁹+9 and n⁹-9 are prime. A239505

Number of 2 X 2 nonsingular 0..n matrices with a(1,1) <= a(1,2) <= a(2,1) <= a(2,2). A183763

Triangle read by rows in which T(n,k) is the number of permutations avoiding 132 of length n with an independent set of size k in its coregraph. A262370

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252384

Number of nX3 0..1 arrays with exactly n+3-2 having value 1 and no three 1s forming an isosceles right triangle. A272953

Numbers whose base-5 representation contains no 0's and exactly one 3. A45188