42112584 has 24 divisors (see below), whose sum is σ = 114055110. Its totient is φ = 14037504.

The previous prime is 42112571. The next prime is 42112589. The reversal of 42112584 is 48521124.

It can be written as a sum of positive squares in only one way, i.e., 25220484 + 16892100 = 5022^2 + 4110^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (42112589) 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, 292377 + ... + 292520.

Almost surely, 2^42112584 is an apocalyptic number.

It is an amenable number.

42112584 is an abundant number, since it is smaller than the sum of its proper divisors (71942526).

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

42112584 is a wasteful number, since it uses less digits than its factorization.

42112584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584909 (or 584902 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 42112584 is about 6489.4209294821. The cubic root of 42112584 is about 347.9129786375.

The spelling of 42112584 in words is "forty-two million, one hundred twelve thousand, five hundred eighty-four".