42792504 has 32 divisors (see below), whose sum is σ = 107205120. Its totient is φ = 14234336.

The previous prime is 42792499. The next prime is 42792509. The reversal of 42792504 is 40529724.

42792504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42792499) and next prime (42792509).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42792509) 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 7 ways as a sum of consecutive naturals, for example, 11929 + ... + 15095.

It is an arithmetic number, because the mean of its divisors is an integer number (3350160).

Almost surely, 2^42792504 is an apocalyptic number.

It is an amenable number.

42792504 is an abundant number, since it is smaller than the sum of its proper divisors (64412616).

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

42792504 is a wasteful number, since it uses less digits than its factorization.

42792504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 42792504 is about 6541.5979699153. The cubic root of 42792504 is about 349.7753769607.

The spelling of 42792504 in words is "forty-two million, seven hundred ninety-two thousand, five hundred four".