Properties of the Number 45852

Forty-Five Thousand Eight Hundred Fifty-Two

Basics

Value: 45851 → 45852 → 45853

Parity: even

Prime: No

Previous Prime: 45841

Next Prime: 45853

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 3821

Divisors: 1, 2, 3, 4, 6, 12, 3821, 7642, 11463, 15284

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001100011100

Octal: 131434

Duodecimal: 22650

Hexadecimal: b31c

Square: 2102405904

Square Root: 214.13080114733611

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

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 4. A50055

Maxima of the rows of the triangle A259095. A5577

Total sum of the sum of divisors of the element sum over all nonempty subsets of [n]. A309281

a(n) = n*(6·n² + 15·n + 5)/2. A163833

a(1)=1, a(2)=2; thereafter a(n+1) = ∑_i=m..n a(i) where m = (n+1)-k and k is the last digit of a(n), except if k=0, k=1, or k>n then a(n+1) = ∑_i=1..n a(i). A309311

Numbers k such that 403·2^k+1 is prime. A323101

Number of nonnegative solutions of x1² + x2² + ... + x10² = n. A45852