14792

14792 is a natural number that lies between 14791 and 14793. It is an even composite integer with a prime factorization of 2^3 times 43^2.

Its positive divisors are 1, 2, 4, 8, 43, 86, 172, 344, 1849, 3698, 7396, and 14792. The prime factorization confirms this divisor set and shows the number has 12 divisors in total.

In terms of divisor sums, the sum of all divisors sigma(14792) equals 28395, so the sum of proper divisors is 28395 − 14792 = 13603. Since this is less than 14792, 14792 is a deficient number (it is not a perfect or an abundant number). Its deficiency is 14792 − 13603 = 1189.

In other representations, 14792 can be written as 86^2 + 86^2, since 14792 = 8 × 1849 and 1849 = 43^2; this yields 14792 = 2 × 43^2 × 2 = 86^2 + 86^2. In base representations, 14792 equals 0x39C8 in hexadecimal and 11100111001000 in binary.

Overall, 14792 is notable for its factorization into 2^3 and 43^2, its 12 divisors, its status as a deficient number, and its sum-of-squares expression.