Properties of the Number 40416

Forty Thousand Four Hundred Sixteen

Basics

Value: 40415 → 40416 → 40417

Parity: even

Prime: No

Previous Prime: 40387

Next Prime: 40423

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 421

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 1001110111100000

Octal: 116740

Duodecimal: 1B480

Hexadecimal: 9de0

Square: 1633453056

Square Root: 201.037309970065

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 meaningful differential operations of the n-th order on the space R⁹. A90994

T(n,k) is the number of (n+2) X k 0..2 arrays with all rows having a nonnegative second derivative, and all columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative. A223391

a(n) = ∑_i=0..n ∑_j=0..n (i XOR j), where XOR is the binary logical exclusive-or operator. A224923

Expansion of e.g.f. 6 / (7 - 6·x - exp(6·x)). A355114

Coefficient triangle of polynomials (rising powers) related to convolutions of A002605(n), n>=0, (generalized (2,2)-Fibonacci). Companion triangle is A073405. A73406

Coefficient triangle of polynomials (falling powers) related to convolutions of A002605(n), n>=0, (generalized (2,2)-Fibonacci). Companion triangle is A073403. A73404

Smallest sequence which lists the position of digits "3" in the sequence. A167453

Number of binary strings of length n with equal numbers of 00001 and 11000 substrings. A164208

Number of 5 X n arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 5 X n array. A220035

Number of 9 X 9 arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to n. A156399