31002048 has 224 divisors, whose sum is σ = 114117120. Its totient is φ = 8017920.

The previous prime is 31002029. The next prime is 31002061. The reversal of 31002048 is 84020013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×31002048² = 1922253960388608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 31002048.

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 31 ways as a sum of consecutive naturals, for example, 132940 + ... + 133172.

Almost surely, 2^31002048 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 31002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

31002048 is an abundant number, since it is smaller than the sum of its proper divisors (83115072).

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

31002048 is a wasteful number, since it uses less digits than its factorization.

31002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 31002048 is about 5567.9482756218. The cubic root of 31002048 is about 314.1449828799.

The spelling of 31002048 in words is "thirty-one million, two thousand, forty-eight".