Properties of the Number -440192

Four Hundred Forty Thousand One Hundred Ninety-Two

Basics

Value: -440193 → -440192 → -440191

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁷ × 19 × 181

Divisors: 1, 2, 4, 8, 16, 19, 32, 38, 64, 76

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1101011011110000000

Octal: -1533600

Duodecimal: -1928A8

Hexadecimal: -6b780

Square: 193768996864

Square Root: 663.4696677316906

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 permutations with no hits on 2 main diagonals. A3471

Card-matching numbers (Dinner-Diner matching numbers) for 5 kinds of cards. A59071

Consider the base-9 Kaprekar map n->K(n) defined in A165110. Sequence gives numbers belonging to cycles, including fixed points. A165115

Consider the base-9 Kaprekar map n->K(n) defined in A165110. Sequence gives numbers belonging to cycles of length greater than 1. A165117

Two decks each have n kinds of cards, 2 of each kind. The first deck is laid out in order. The second deck is shuffled and laid out next to the first. A match occurs if a card from the second deck is next to a card of the same kind from the first deck. a(n) is the number of ways of achieving no matches. A316

Number of permutations p of [n] with no fixed points and cyclic displacement of elements restricted by four: p(i)<>i and (i-p(i) mod n <= 4 or p(i)-i mod n <= 4). A260092

Multi-table menage numbers T(n,k) for n,k >= 1 equals the number of ways to seat the gentlemen from n·k married couples at n round tables with 2·k seats each such that (i) the gender of persons alternates around each table; and (ii) spouses do not sit next to each other; provided that the ladies are already properly seated (i.e., no two ladies sit next to each other). A277256

Triangle read by rows of generalized ménage numbers: T(n,k) is the number of permutations π in S_n such that π(i) ≠ i and π(i) ≠ i+k (mod n) for all i; n, 1 <= k < n. A354408

Number of X-based filling of diagonals in a diagonal Latin square of order n with the main diagonal in ascending order. A337302

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 2X2 subblock sum equal to some diagonal or antidiagonal neighbor 2X2 subblock sum. A187356