Properties of the Number 45012

Forty-Five Thousand Twelve

Basics

Value: 45011 → 45012 → 45013

Parity: even

Prime: No

Previous Prime: 45007

Next Prime: 45013

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 11 ² × 31

Divisors: 1, 2, 3, 4, 6, 11, 12, 22, 31, 33

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111111010100

Octal: 127724

Duodecimal: 22070

Hexadecimal: afd4

Square: 2026080144

Square Root: 212.160316741845

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 2n-bead balanced binary strings of fundamental period 2n, rotationally equivalent to reverse, complement and reversed complement. A45665

Lexicographically first sequence of distinct terms such that any set of six successive digits can be reordered as {d, d+1, d+2, d+3, d+4, d+5}, d being the smallest of the six digits. A302501

a(n) = n*(7·n²-12·n+7)/2. A226451

a(n) = ∑_{k=0..floor(2·n/3)} binomial(k+2,2) * binomial(k,2·n-3·k). A392269

Terms of A220698 that appear in A224218. A220752

Number of defective 4-colorings of an n X 5 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..3 order. A229575

Number of lattice 3-polytopes of width greater than 1, sublattice index 1, and size n. A319963

Numbers k >= 1 such that A018804(k) is a Fibonacci number (A000045). A382869

T(n,k) = number of defective 4-colorings of an n X k 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..3 order. A229578

Numbers whose base-3 representation contains exactly four 0's and three 2's. A45012