42791904 has 72 divisors (see below), whose sum is σ = 125641152. Its totient is φ = 13800960.

The previous prime is 42791893. The next prime is 42791909. The reversal of 42791904 is 40919724.

42791904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×42791904² = 3662294095890432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42791909) 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 11 ways as a sum of consecutive naturals, for example, 6532 + ... + 11324.

It is an arithmetic number, because the mean of its divisors is an integer number (1745016).

Almost surely, 2^42791904 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 42791904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62820576).

42791904 is an abundant number, since it is smaller than the sum of its proper divisors (82849248).

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

42791904 is a wasteful number, since it uses less digits than its factorization.

42791904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 42791904 is about 6541.5521094003. The cubic root of 42791904 is about 349.7737422023.

The spelling of 42791904 in words is "forty-two million, seven hundred ninety-one thousand, nine hundred four".