42164352 has 96 divisors (see below), whose sum is σ = 128529180. Its totient is φ = 13221888.

The previous prime is 42164333. The next prime is 42164377. The reversal of 42164352 is 25346124.

It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 484416 = 6456^2 + 696^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18508 + ... + 20660.

Almost surely, 2^42164352 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 42164352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64264590).

42164352 is an abundant number, since it is smaller than the sum of its proper divisors (86364828).

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

42164352 is a wasteful number, since it uses less digits than its factorization.

42164352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2175 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42164352 is about 6493.4083500116. The cubic root of 42164352 is about 348.0554806510.

The spelling of 42164352 in words is "forty-two million, one hundred sixty-four thousand, three hundred fifty-two".