47641920 has 56 divisors (see below), whose sum is σ = 151266144. Its totient is φ = 12704256.

The previous prime is 47641897. The next prime is 47641921. The reversal of 47641920 is 2914674.

It is a happy number.

47641920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47641921) 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 7 ways as a sum of consecutive naturals, for example, 23854 + ... + 25773.

Almost surely, 2^47641920 is an apocalyptic number.

47641920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47641920 is an abundant number, since it is smaller than the sum of its proper divisors (103624224).

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

47641920 is a wasteful number, since it uses less digits than its factorization.

47641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49647 (or 49637 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 47641920 is about 6902.3126559147. The cubic root of 47641920 is about 362.5181473277.

The spelling of 47641920 in words is "forty-seven million, six hundred forty-one thousand, nine hundred twenty".