42002904 has 48 divisors (see below), whose sum is σ = 108805320. Its totient is φ = 13511680.

The previous prime is 42002893. The next prime is 42002921. The reversal of 42002904 is 40920024.

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 11 ways as a sum of consecutive naturals, for example, 19144 + ... + 21224.

Almost surely, 2^42002904 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 42002904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54402660).

42002904 is an abundant number, since it is smaller than the sum of its proper divisors (66802416).

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

42002904 is a wasteful number, since it uses less digits than its factorization.

42002904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 42002904 is about 6480.9647429993. The cubic root of 42002904 is about 347.6106757178.

Adding to 42002904 its reverse (40920024), we get a palindrome (82922928).

The spelling of 42002904 in words is "forty-two million, two thousand, nine hundred four".