42493152 has 96 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 12879360.

The previous prime is 42493147. The next prime is 42493163. The reversal of 42493152 is 25139424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98377 + ... + 98807.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^42493152 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 42493152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

42493152 is an abundant number, since it is smaller than the sum of its proper divisors (79434528).

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

42493152 is a wasteful number, since it uses less digits than its factorization.

42493152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 42493152 is about 6518.6771664196. The cubic root of 42493152 is about 348.9578578738.

The spelling of 42493152 in words is "forty-two million, four hundred ninety-three thousand, one hundred fifty-two".