Properties of the Number -41728

Forty-One Thousand Seven Hundred Twenty-Eight

Basics

Value: -41729 → -41728 → -41727

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁸ × 163

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 163, 256

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: -1010001100000000

Octal: -121400

Duodecimal: -20194

Hexadecimal: -a300

Square: 1741225984

Square Root: 204.27432535685926

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

T(n,k)=Number of (n+3)X(k+3) 0..1 arrays with no 4x4 subblock diagonal sum less than the antidiagonal sum. A258689

a(n) is the unique number m such that A034460(m) = A357324(n). A357325

a(n) = (4·n³ + 6·n² + 8·n + 6)/3. A100504

a(n) = 2^2·n-1*binomial(2·n,n) + 2^4·n-1. A45952

Practical numbers q with q + 2 and q² + 2 both practical. A294225

Integers m that satisfy τ(m) + ω(m) = #({φ(x) = m}). A305656

Triangle read by rows. T(n, k) = numerator([x^k] R(n, n, x)), where R(n, k, x) = ∑_u=0..k ( ∑_j=0..u x^j * binomial(u, j) * (j + 1)ⁿ ) / (u + 1). A362996

Related to Latin rectangles. A1624

Number of binary strings of length n with no substrings equal to 0001 0101 or 1010. A164472

Number of (n+3) X (1+3) 0..1 arrays with no 4 X 4 subblock diagonal sum less than the antidiagonal sum. A258685