Properties of the Number 52049

Fifty-Two Thousand Forty-Nine

Basics

Value: 52048 → 52049 → 52050

Parity: odd

Prime: No

Previous Prime: 52027

Next Prime: 52051

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 23 × 31 × 73

Divisors: 1, 23, 31, 73, 713, 1679, 2263, 52049

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101101010001

Octal: 145521

Duodecimal: 26155

Hexadecimal: cb51

Square: 2709098401

Square Root: 228.14249932881862

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

Expansion of ∏_k>=1 (1+x^k)^k⁴. A248883

a(0)=1, a(1)=1, a(n) = 5·a(n-1) + 4·a(n-2). A123270

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2)*b(n-1)*b(n), where a(0) = 1, a(1) = 4, b(0) = 2, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A296280

Digitally balanced numbers (A031443) whose squares and cubes are also digitally balanced. A353140

Number of permutations (p(1),p(2),...,p(n)) of (1,2,...,n) such that p(i)-i is in {-2,0,7} for all i=1,...,n. A387021

Number of (n+2) X 8 0..2 matrices with each 3 X 3 subblock idempotent. A224604

a(n)² is a square whose digits occur with an equal minimum frequency of 2. A52049

Expansion of (1 - 3·x) / (1 - 5·x + 3·x²). A52961

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of ∏_j>=1 (1+x^j)^{j^k} in powers of x. A284992