Properties of the Number 78448

Seventy-Eight Thousand Four Hundred Forty-Eight

Basics

Value: 78447 → 78448 → 78449

Parity: even

Prime: No

Previous Prime: 78439

Next Prime: 78467

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 4903

Divisors: 1, 2, 4, 8, 16, 4903, 9806, 19612, 39224, 78448

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10011001001110000

Octal: 231160

Duodecimal: 39494

Hexadecimal: 13270

Square: 6154088704

Square Root: 280.0857011701954

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 length n+5 0..k arrays with every six consecutive terms having two times the sum of some two elements equal to the sum of the remaining four. A249085

Diagonal sums of triangle A099573. A99574

Number of length n+5 0..7 arrays with every six consecutive terms having two times the sum of some two elements equal to the sum of the remaining four. A249084

Number of length 1+5 0..n arrays with every six consecutive terms having two times the sum of some two elements equal to the sum of the remaining four. A249086

Binomial transform of A090426. A199297

Triangle T(n,k) for 1 <= n, 1 <= k <= n read by rows: T(1,1) = 1; for n > 1: T(n,1) = T(n-1,n-1) + 1; for n > 1 and k <=n: T(n,k) = smallest number > T(n,k-1) which is relatively prime to T(n,j) for 1 <= j < k. A78448

E.g.f. A(x) satisfies A'(x) = exp( A(x)*A'(x)² ). A392206

Number of nX3 0..2 arrays with no element having a strict majority of its horizontal, diagonal and antidiagonal neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions). A231904