47113920 has 448 divisors, whose sum is σ = 204825600. Its totient is φ = 9953280.

The previous prime is 47113909. The next prime is 47113933. The reversal of 47113920 is 2931174.

47113920 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 1149100 + ... + 1149140.

It is an arithmetic number, because the mean of its divisors is an integer number (457200).

Almost surely, 2^47113920 is an apocalyptic number.

47113920 is a gapful number since it is divisible by the number (40) 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 47113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

47113920 is an abundant number, since it is smaller than the sum of its proper divisors (157711680).

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

47113920 is a wasteful number, since it uses less digits than its factorization.

47113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 47113920 is about 6863.9580418298. The cubic root of 47113920 is about 361.1739454281.

The spelling of 47113920 in words is "forty-seven million, one hundred thirteen thousand, nine hundred twenty".