42251904 has 48 divisors (see below), whose sum is σ = 121587570. Its totient is φ = 14083584.

The previous prime is 42251903. The next prime is 42251917. The reversal of 42251904 is 40915224.

It can be written as a sum of positive squares in only one way, i.e., 24206400 + 18045504 = 4920^2 + 4248^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42251903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17187 + ... + 19490.

Almost surely, 2^42251904 is an apocalyptic number.

It is an amenable number.

42251904 is an abundant number, since it is smaller than the sum of its proper divisors (79335666).

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

42251904 is a wasteful number, since it uses less digits than its factorization.

42251904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36697 (or 36682 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42251904 is about 6500.1464598884. The cubic root of 42251904 is about 348.2962202370.

It can be divided in two parts, 422 and 51904, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 42251904 in words is "forty-two million, two hundred fifty-one thousand, nine hundred four".