248342752 has 48 divisors (see below), whose sum is σ = 565094880. Its totient is φ = 105228288.

The previous prime is 248342737. The next prime is 248342761. The reversal of 248342752 is 257243842.

248342752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13708 + ... + 26164.

It is an arithmetic number, because the mean of its divisors is an integer number (11772810).

Almost surely, 2^248342752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248342752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282547440).

248342752 is an abundant number, since it is smaller than the sum of its proper divisors (316752128).

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

248342752 is a wasteful number, since it uses less digits than its factorization.

248342752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12563 (or 12555 counting only the distinct ones).

The product of its digits is 107520, while the sum is 37.

The square root of 248342752 is about 15758.8943774619. The cubic root of 248342752 is about 628.5654366214.

It can be divided in two parts, 248 and 342752, that added together give a cube (343000 = 70³).

The spelling of 248342752 in words is "two hundred forty-eight million, three hundred forty-two thousand, seven hundred fifty-two".