47713968 has 160 divisors (see below), whose sum is σ = 148651200. Its totient is φ = 14598144.

The previous prime is 47713957. The next prime is 47713993. The reversal of 47713968 is 86931774.

It is a super-4 number, since 4×47713968⁴ (a number of 32 digits) contains 4444 as substring.

Its product of digits (254016) is a multiple of the sum of its prime factors (196).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536068 + ... + 536156.

It is an arithmetic number, because the mean of its divisors is an integer number (929070).

Almost surely, 2^47713968 is an apocalyptic number.

47713968 is a gapful number since it is divisible by the number (48) 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 47713968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74325600).

47713968 is an abundant number, since it is smaller than the sum of its proper divisors (100937232).

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

47713968 is a wasteful number, since it uses less digits than its factorization.

47713968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 47713968 is about 6907.5298044960. The cubic root of 47713968 is about 362.7007984625.

The spelling of 47713968 in words is "forty-seven million, seven hundred thirteen thousand, nine hundred sixty-eight".