Properties of the Number 45049

Forty-Five Thousand Forty-Nine

Basics

Value: 45048 → 45049 → 45050

Parity: odd

Prime: No

Previous Prime: 45013

Next Prime: 45053

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 19 × 2371

Divisors: 1, 19, 2371, 45049

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010111111111001

Octal: 127771

Duodecimal: 220A1

Hexadecimal: aff9

Square: 2029412401

Square Root: 212.24749704060116

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 inseparable partitions of n; see Comments. A325535

Positions of A080299 in A014486. A80298

Odd numbers n for which 19 is the smallest i (>= 1) with Jacobi symbol J(i,n) getting either a value 0 or -1. A112078

Number of (n+1) X (7+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250655

a(n) = ∑_j=1..n ∑_k=1..n φ(2·j*k) / φ(k). A372664

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250656

Numbers whose base-4 representation contains exactly two 0's and two 2's. A45049