15456

15456 is a positive integer that lies between 15455 and 15457. In mathematics, it is an even, composite number. Its prime factorization is 2^5 × 3 × 7 × 23, which implies it has 48 positive divisors. It is divisible by 32 (2^5) and by 483 (3 × 7 × 23), among other divisors.

As a decimal number, 15456 is a Harshad (Niven) number in base 10 because the sum of its digits is 1 + 5 + 4 + 5 + 6 = 21, and 15456 ÷ 21 = 736. Its approximate size places it between 124^2 = 15376 and 125^2 = 15625, so it is not a perfect square.

In other numeral systems, 15456 is 0x3C60 in hexadecimal. The corresponding 16-bit binary representation is 0011110001100000.

The number’s factorization also makes it a multiple of 32 and 483, and it serves as a representative example of a moderately large composite number with a modest number of distinct prime factors. There is no widely recognized mathematical constant or notable historical event specifically associated with 15456. It is primarily of interest in contexts involving integer factorization, digit-sum properties, and base conversions.