42735807 has 48 divisors (see below), whose sum is σ = 70218720. Its totient is φ = 24883200.

The previous prime is 42735799. The next prime is 42735811. The reversal of 42735807 is 70853724.

42735807 is a `hidden beast` number, since 4 + 2 + 73 + 580 + 7 = 666.

42735807 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 42735807 - 2³ = 42735799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42735877) 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 47 ways as a sum of consecutive naturals, for example, 177207 + ... + 177447.

It is an arithmetic number, because the mean of its divisors is an integer number (1462890).

Almost surely, 2^42735807 is an apocalyptic number.

42735807 is a deficient number, since it is larger than the sum of its proper divisors (27482913).

42735807 is a wasteful number, since it uses less digits than its factorization.

42735807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 42735807 is about 6537.2629593737. The cubic root of 42735807 is about 349.6208329210.

The spelling of 42735807 in words is "forty-two million, seven hundred thirty-five thousand, eight hundred seven".