47868192 has 96 divisors (see below), whose sum is σ = 147873600. Its totient is φ = 15012864.

The previous prime is 47868179. The next prime is 47868193. The reversal of 47868192 is 29186874.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (47868193) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13059 + ... + 16317.

It is an arithmetic number, because the mean of its divisors is an integer number (1540350).

Almost surely, 2^47868192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47868192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73936800).

47868192 is an abundant number, since it is smaller than the sum of its proper divisors (100005408).

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

47868192 is a wasteful number, since it uses less digits than its factorization.

47868192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3281 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 47868192 is about 6918.6842679804. The cubic root of 47868192 is about 363.0911594017.

The spelling of 47868192 in words is "forty-seven million, eight hundred sixty-eight thousand, one hundred ninety-two".