Properties of the Number 45450

Forty-Five Thousand Four Hundred Fifty

Basics

Value: 45449 → 45450 → 45451

Parity: even

Prime: No

Previous Prime: 45439

Next Prime: 45481

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 ² × 101

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000110001010

Octal: 130612

Duodecimal: 22376

Hexadecimal: b18a

Square: 2065702500

Square Root: 213.19005605327843

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

G.f. A(x,y) satisfies: -y = f(-x,-A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354650

G.f. A(x,y) satisfies: y = f(x,A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354649

Numbers m such that the largest digit in the decimal expansion of 1/m is 2. A341383

Fourth right hand column of triangle A165674. A165676

One-fourth of partial sums of A153976. A153977

Integers k such that in the list of divisors of k (in base 6), each digit 0-5 appears equally often. A45815

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 2 3 6 or 7. A252294

Square array read by antidiagonals upwards: T(i,j) is the smallest number m such that the symmetric representation of σ, SRS(m), has maximum width 3, consists of i parts and has 2·j occurrences of maximum width 3 in its width pattern (row m of A341969). A377667

Number of partitions of n into a prime number of distinct prime parts. A45450

Cubes that are the sum of two or more consecutive positive squares. A136312