248313888 has 144 divisors (see below), whose sum is σ = 776018880. Its totient is φ = 74967552.

The previous prime is 248313887. The next prime is 248313893. The reversal of 248313888 is 888313842.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (248313887) 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 23 ways as a sum of consecutive naturals, for example, 124870 + ... + 126842.

It is an arithmetic number, because the mean of its divisors is an integer number (5389020).

Almost surely, 2^248313888 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 248313888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388009440).

248313888 is an abundant number, since it is smaller than the sum of its proper divisors (527704992).

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

248313888 is a wasteful number, since it uses less digits than its factorization.

248313888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2020 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 248313888 is about 15757.9785505629. The cubic root of 248313888 is about 628.5410836984.

The spelling of 248313888 in words is "two hundred forty-eight million, three hundred thirteen thousand, eight hundred eighty-eight".