24248 has 16 divisors (see below), whose sum is σ = 52080. Its totient is φ = 10368.

The previous prime is 24247. The next prime is 24251. The reversal of 24248 is 84242.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2²⁴²⁴⁸ is an apocalyptic number.

24248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

24248 is an abundant number, since it is smaller than the sum of its proper divisors (27832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040).

24248 is a wasteful number, since it uses less digits than its factorization.

24248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 442 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 24248 is about 155.7176932786. The cubic root of 24248 is about 28.9440061051.

It can be divided in two parts, 24 and 248, that added together give a palindrome (272).

The spelling of 24248 in words is "twenty-four thousand, two hundred forty-eight".