Properties of the Number 4949

Four Thousand Nine Hundred Forty-Nine

Basics

Value: 4948 → 4949 → 4950

Parity: odd

Prime: No

Previous Prime: 4943

Next Prime: 4951

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 ² × 101

Divisors: 1, 7, 49, 101, 707, 4949

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101010101

Octal: 11525

Duodecimal: 2A45

Hexadecimal: 1355

Square: 24492601

Square Root: 70.34912934784623

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

Numbers k such that k⁴ can be written as a sum of four positive 4th powers. A3294

a(n) = (2·n-1)*(n² -n +6)/6. A49480

Number of integer partitions of n containing all of their distinct multiplicities. A325705

T(n,k) = Number of n X k 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s. A297595

Array A read by upward antidiagonals in which the entry A(n,k) in row n and column k is defined by A(n, k) = 4ⁿ*(6·k - 3 - 2*(-1)ⁿ) + (4ⁿ - 1)/3, n,k >= 1. A371100

Numbers k such that k⁴ can be written as a sum of four positive 4th powers with no common factor. A39664

E.g.f.: A(x,y) = exp(-1-y) * ∑_n>=0 (exp(n·x) + y)ⁿ / n!, where A(x,y) = ∑_n>=0 xⁿ/n! * ∑_k=0..n T(n,k)*y^k, as a triangle of coefficients T(n,k) read by rows. A326600

Kaprekar triples: q such that q = x + y + z and q³ = x·10²ⁿ + y·10ⁿ + z, where z < 10ⁿ and n is the number of digits in q. q is not a power of 10 (except q=1). A6887

3-almost primes with semiprime digits (digits 4, 6, 9 only). A111494

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime. A251845