42688352 has 24 divisors (see below), whose sum is σ = 96049296. Its totient is φ = 18294912.

The previous prime is 42688337. The next prime is 42688363. The reversal of 42688352 is 25388624.

42688352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42688352³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95063 + ... + 95510.

It is an arithmetic number, because the mean of its divisors is an integer number (4002054).

Almost surely, 2^42688352 is an apocalyptic number.

It is an amenable number.

42688352 is an abundant number, since it is smaller than the sum of its proper divisors (53360944).

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

42688352 is a wasteful number, since it uses less digits than its factorization.

42688352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190590 (or 190582 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 42688352 is about 6533.6323741086. The cubic root of 42688352 is about 349.4913755041.

The spelling of 42688352 in words is "forty-two million, six hundred eighty-eight thousand, three hundred fifty-two".