5616

5616 is a natural number that follows 5615 and precedes 5617. It is an even, composite number with a prime factorization of 5616 = 2^4 × 3^3 × 13. This factorization implies that 5616 has 40 positive divisors.

The sum of all divisors of 5616 is σ(5616) = 17360, so the sum of its proper divisors is 17360 − 5616 = 11744. Since 17360 > 2 × 5616, the number is classified as abundant. It is also a Harshad (Niven) number in base 10 because the sum of its digits is 5 + 6 + 1 + 6 = 18, and 5616 ÷ 18 = 312.

In terms of representability, 5616 is not a sum of two squares, because in its prime factorization the prime 3 (which is congruent to 3 modulo 4) appears with an odd exponent (3). It is not a perfect square or a perfect cube either.

In common numeral systems, 5616 is written as 0x15F0 in hexadecimal and as the binary 1010111110000. In Roman numerals, 5616 would be written as V̄ DCXVI, with V̄ denoting 5,000 (a vinculum overbar indicating multiplication by 1,000).

As a whole number, 5616 has applications in mathematics as an example of an even, abundant, non-square integer with a known divisor structure and base representations.