42642635 has 16 divisors (see below), whose sum is σ = 58594752. Its totient is φ = 29184000.

The previous prime is 42642629. The next prime is 42642637. The reversal of 42642635 is 53624624.

42642635 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42642635 - 2⁶ = 42642571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42642637) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25835 + ... + 27435.

It is an arithmetic number, because the mean of its divisors is an integer number (3662172).

Almost surely, 2^42642635 is an apocalyptic number.

42642635 is a deficient number, since it is larger than the sum of its proper divisors (15952117).

42642635 is a wasteful number, since it uses less digits than its factorization.

42642635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374.

The product of its digits is 34560, while the sum is 32.

The square root of 42642635 is about 6530.1328470407. The cubic root of 42642635 is about 349.3665685906.

The spelling of 42642635 in words is "forty-two million, six hundred forty-two thousand, six hundred thirty-five".