Properties of the Number 49802

Forty-Nine Thousand Eight Hundred Two

Basics

Value: 49801 → 49802 → 49803

Parity: even

Prime: No

Previous Prime: 49801

Next Prime: 49807

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 37 × 673

Divisors: 1, 2, 37, 74, 673, 1346, 24901, 49802

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100001010001010

Octal: 141212

Duodecimal: 249A2

Hexadecimal: c28a

Square: 2480239204

Square Root: 223.16361710637332

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

Number of integer partitions of n with a difference < -1 and a conjugate difference < -1. A350839

Number of partitions p of n such that (number of numbers of the form 5k in p) is a part of p. A241549

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384740. A384742

Number of 6-ary rooted trees with n nodes and height exactly 6. A36644

Expansion of ∏_k>=1 (1 - x^prime(k))^prime(k). A300521

a(n) = n mod 2 + n mod 4 + ... + n mod 2^k, where 2^k <= n < 2^k+1. A49802