Properties of the Number 45864

Forty-Five Thousand Eight Hundred Sixty-Four

Basics

Value: 45863 → 45864 → 45865

Parity: even

Prime: No

Previous Prime: 45863

Next Prime: 45869

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 7 ² × 13

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001100101000

Octal: 131450

Duodecimal: 22660

Hexadecimal: b328

Square: 2103506496

Square Root: 214.15881957089695

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

Jordan function J₆(n). A69091

Number of maximal subsets of {1..n} such that every orderless pair of distinct elements has a different sum. A325878

Numbers m such that the sum of the first k divisors of m is equal to m for some k. A64510

θ series of the 30-dimensional lattice of hyper-roots A₄(SU(3)). A287329

J_n(n), where J is the Jordan function, J_n(n) = nⁿ product{p∣n}(1 - 1/pⁿ), the product is over the distinct primes, p, dividing n. A67858

Erdős-Nicolas numbers. A194472

a(n) = ∑_d∣n μ(d)*dⁿ. A321222

a(n) = C(2n,n) * (7ⁿ/n!²) * ∏_k=0..n-1 (7k+1)*(7k+6). A184896

Numbers with prime factorization p·q²*r²*s³ (where p, q, r, s are distinct primes). A190109

Non-palindromes numbers not ending in 0 whose square is the product of a number and its reverse in only one way. A325151