Properties of the Number 28049

Twenty-Eight Thousand Forty-Nine

Basics

Value: 28048 → 28049 → 28050

Parity: odd

Prime: No

Previous Prime: 28031

Next Prime: 28051

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 4007

Divisors: 1, 7, 4007, 28049

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110110010001

Octal: 66621

Duodecimal: 14295

Hexadecimal: 6d91

Square: 786746401

Square Root: 167.47835681066374

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

Numbers n such that the digits of σ(n) are exactly the same (albeit in different order) as the digits of φ(n), in base 10. A175795

G.f.: (1-x)⁵/((-1+4·x-3·x²+x³)*(1-3·x+x²)*(-1+2·x)). A89932

a(1)=1. a(n) = a(n-1) + sum of the triangular numbers which are among the first (n-1) terms of the sequence. A100963

a(1) = 1; a(n+1) = ∑_d∣n binomial(n,d) * a(d). A330017

Integers n such that n+2!, n+2!+3!, n+2!+3!+4!, n+2!+3!+4!+5!, n+2!+3!+4!+5!+6!, and n+2!+3!+4!+5!+6!+7! are all prime. A267123

Odd nonprimes n such that n+d+1 is prime for all divisors d of n. A187554

Fermat's Last Theorem: a(n) = 1 if xⁿ + yⁿ = zⁿ has a nontrivial solution in integers, otherwise a(n) = 0. A19590

Expansion of A(x) satisfying [xⁿ] A(x) / (1 + x·A(x)ⁿ) = 0 for n > 0. A360582

The largest positive number that can be added to n the maximum number of times, see A343921(n), such that the digits in each resulting sum are distinct, or -1 if no such number exists. A343922

Number of (n+2) X 9 binary arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order. A184546