47845952 has 168 divisors, whose sum is σ = 128564640. Its totient is φ = 17418240.

The previous prime is 47845949. The next prime is 47845979. The reversal of 47845952 is 25954874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (403200) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655388 + ... + 655460.

Almost surely, 2^47845952 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 47845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64282320).

47845952 is an abundant number, since it is smaller than the sum of its proper divisors (80718688).

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

47845952 is a wasteful number, since it uses less digits than its factorization.

47845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 47845952 is about 6917.0768392436. The cubic root of 47845952 is about 363.0349188659.

The spelling of 47845952 in words is "forty-seven million, eight hundred forty-five thousand, nine hundred fifty-two".