47513952 has 120 divisors (see below), whose sum is σ = 145995696. Its totient is φ = 15130368.

The previous prime is 47513951. The next prime is 47513959. The reversal of 47513952 is 25931574.

47513952 is a `hidden beast` number, since 475 + 139 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47513951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59218 + ... + 60014.

Almost surely, 2^47513952 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 47513952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72997848).

47513952 is an abundant number, since it is smaller than the sum of its proper divisors (98481744).

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

47513952 is a wasteful number, since it uses less digits than its factorization.

47513952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 825 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 47513952 is about 6893.0364861939. The cubic root of 47513952 is about 362.1932771286.

The spelling of 47513952 in words is "forty-seven million, five hundred thirteen thousand, nine hundred fifty-two".