248015312 has 40 divisors (see below), whose sum is σ = 510878016. Its totient is φ = 116235776.

The previous prime is 248015311. The next prime is 248015399. The reversal of 248015312 is 213510842.

248015312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248015311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69803 + ... + 73269.

Almost surely, 2^248015312 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 248015312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255439008).

248015312 is an abundant number, since it is smaller than the sum of its proper divisors (262862704).

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

248015312 is a wasteful number, since it uses less digits than its factorization.

248015312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 248015312 is about 15748.5018970059. The cubic root of 248015312 is about 628.2890605403.

The spelling of 248015312 in words is "two hundred forty-eight million, fifteen thousand, three hundred twelve".