2448

2448 is a positive integer that sits between 2447 and 2449. In number-theory terms, its prime factorization is 2^4 × 3^2 × 17, so it is a composite number with 30 positive divisors. The sum of all divisors, including 2448, is 7254, and the sum of its proper divisors is 4806, making 2448 an abundant number.

The digit sum of 2448 is 2+4+4+8 = 18, so it is divisible by 18 and hence by 3 and by 9 as well. This also makes 2448 a Harshad (Niven) number in base 10, since it is divisible by the sum of its digits.

In common numeral systems, 2448 can be written as:

- Binary: 100110010000

- Octal: 4620

- Hexadecimal: 0x990

In Roman numerals, 2448 is MMCDXLVIII, which breaks down to 2000 (MM) + 400 (CD) + 40 (XL) + 8 (VIII).

Additional properties include that 2448 is not a perfect square or cube (its square root is about 49.48 and its cube root about 13.5) and it is not a triangular number, as solving n(n+1)/2 = 2448 does not yield an integer n. These characteristics place 2448 among the many multiples of 16, 9, and 17 in the integers, with its factorization clearly revealing its composite structure.