42331904 has 72 divisors (see below), whose sum is σ = 91391328. Its totient is φ = 19496960.

The previous prime is 42331901. The next prime is 42331907. The reversal of 42331904 is 40913324.

It is an interprime number because it is at equal distance from previous prime (42331901) and next prime (42331907).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42331901) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 308924 + ... + 309060.

It is an arithmetic number, because the mean of its divisors is an integer number (1269324).

Almost surely, 2^42331904 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 42331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45695664).

42331904 is an abundant number, since it is smaller than the sum of its proper divisors (49059424).

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

42331904 is a wasteful number, since it uses less digits than its factorization.

42331904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 42331904 is about 6506.2972572731. The cubic root of 42331904 is about 348.5159036729.

The spelling of 42331904 in words is "forty-two million, three hundred thirty-one thousand, nine hundred four".