248287312 has 120 divisors (see below), whose sum is σ = 638537256. Its totient is φ = 92381184.

The previous prime is 248287309. The next prime is 248287343. The reversal of 248287312 is 213782842.

It can be written as a sum of positive squares in 4 ways, for example, as 62346816 + 185940496 = 7896^2 + 13636^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172548 + ... + 173980.

Almost surely, 2^248287312 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 248287312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319268628).

248287312 is an abundant number, since it is smaller than the sum of its proper divisors (390249944).

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

248287312 is a wasteful number, since it uses less digits than its factorization.

248287312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1472 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 248287312 is about 15757.1352726313. The cubic root of 248287312 is about 628.5186595213.

The spelling of 248287312 in words is "two hundred forty-eight million, two hundred eighty-seven thousand, three hundred twelve".