31242048 has 112 divisors (see below), whose sum is σ = 88757760. Its totient is φ = 9676800.

The previous prime is 31242007. The next prime is 31242049. The reversal of 31242048 is 84024213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31242049) 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 15 ways as a sum of consecutive naturals, for example, 172518 + ... + 172698.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 2^31242048 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 31242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44378880).

31242048 is an abundant number, since it is smaller than the sum of its proper divisors (57515712).

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

31242048 is a wasteful number, since it uses less digits than its factorization.

31242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 31242048 is about 5589.4586499946. The cubic root of 31242048 is about 314.9535431614.

The spelling of 31242048 in words is "thirty-one million, two hundred forty-two thousand, forty-eight".