Properties of the Number 45045

Forty-Five Thousand Forty-Five

Basics

Value: 45044 → 45045 → 45046

Parity: odd

Prime: No

Previous Prime: 45013

Next Prime: 45053

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 7 × 11 × 13

Divisors: 1, 3, 5, 7, 9, 11, 13, 15, 21, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111111110101

Octal: 127765

Duodecimal: 22099

Hexadecimal: aff5

Square: 2029052025

Square Root: 212.23807386988793

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

Triangle of Bessel numbers read by rows: T(n,k) is the number of k-matchings of the complete graph K(n). A100861

Denominator the polynomial A_l(x) = ∑_d=1..l-1 x^l-d/d for index l=2n+1 evaluated at x=16. A145640

a(n) = LCM(1,2,...,n) / n. A2944

Least common multiple of {1,3,5,...,2n-1}. A25547

Denominator of n·n-th harmonic number. A27611

Highly composite odd numbers: odd numbers where d(n) increases to a record. A53624

Numbers k such that k·gcd(σ(k), A003961(k)) is equal to the odd part of {σ(k) * gcd(k, A003961(k))}, where A003961 shifts the prime factorization one step towards larger primes, and σ is the sum of divisors function. A349169

a(n) = (2·n + 3)!!/3 = A001147(n+2)/3. A51577

Denominator of -3·n + 2*(1+n)*HarmonicNumber(n). A96620

Distinct odd numbers in the triangle of denominators in Leibniz's Harmonic Triangle. A46201