42352608 has 48 divisors (see below), whose sum is σ = 112447440. Its totient is φ = 13956096.

The previous prime is 42352571. The next prime is 42352613. The reversal of 42352608 is 80625324.

42352608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 6066 + ... + 11022.

It is an arithmetic number, because the mean of its divisors is an integer number (2342655).

Almost surely, 2^42352608 is an apocalyptic number.

42352608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42352608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56223720).

42352608 is an abundant number, since it is smaller than the sum of its proper divisors (70094832).

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

42352608 is a wasteful number, since it uses less digits than its factorization.

42352608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42352608 is about 6507.8881367153. Note that the first 3 decimals coincide. The cubic root of 42352608 is about 348.5727126557.

The spelling of 42352608 in words is "forty-two million, three hundred fifty-two thousand, six hundred eight".