42951920 has 40 divisors (see below), whose sum is σ = 108943920. Its totient is φ = 15618560.

The previous prime is 42951917. The next prime is 42951949. The reversal of 42951920 is 2915924.

42951920 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 (40).

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, 23525 + ... + 25284.

It is an arithmetic number, because the mean of its divisors is an integer number (2723598).

Almost surely, 2^42951920 is an apocalyptic number.

42951920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42951920 is an abundant number, since it is smaller than the sum of its proper divisors (65992000).

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

42951920 is a wasteful number, since it uses less digits than its factorization.

42951920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48833 (or 48827 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 42951920 is about 6553.7714333046. The cubic root of 42951920 is about 350.2091810783.

The spelling of 42951920 in words is "forty-two million, nine hundred fifty-one thousand, nine hundred twenty".