42493584 has 160 divisors (see below), whose sum is σ = 133920000. Its totient is φ = 11590656.

The previous prime is 42493579. The next prime is 42493603. The reversal of 42493584 is 48539424.

42493584 is nontrivially palindromic in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477412 + ... + 477500.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 2^42493584 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 42493584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960000).

42493584 is an abundant number, since it is smaller than the sum of its proper divisors (91426416).

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

42493584 is a wasteful number, since it uses less digits than its factorization.

42493584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 42493584 is about 6518.7103018925. The cubic root of 42493584 is about 348.9590404116.

The spelling of 42493584 in words is "forty-two million, four hundred ninety-three thousand, five hundred eighty-four".