Properties of the Number -29376

Twenty-Nine Thousand Three Hundred Seventy-Six

Basics

Value: -29377 → -29376 → -29375

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ³ × 17

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: -111001011000000

Octal: -71300

Duodecimal: -15000

Hexadecimal: -72c0

Square: 862949376

Square Root: 171.3942822850284

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

G.f. A(x) satisfies: A(x) = 1 / (1 - x - x·A(-2·x)). A349032

Determinant of the upper left n X n elements excluding its first row and column of the Array T(n,m) in A109626. A111606

Number of divisors of n!. A27423

Order of the group SL(2,Z_n). A56

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2^k if k <= floor(n/2) otherwise 2^n-k, and m = 1, read by rows. A157268

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2·k if k <= floor(n/2) otherwise 2*(n-k), and m = 1, read by rows. A157275

Number of subsets of {1,2,...,n} that contain the average of their elements. A65795

Number of reversible strings with n-1 beads of 2 colors. 4 beads are black. String is not palindromic. A32091

Let p = n-th prime == 3 mod 8; a(n) = (sum of quadratic residues mod p that are < p/2) + (sum of all quadratic residues mod p). A282727

Natural numbers k such that k is a multiple of its number of "feasible" partitions. A254438