47581952 has 72 divisors (see below), whose sum is σ = 105691152. Its totient is φ = 21196800.

The previous prime is 47581939. The next prime is 47581957. The reversal of 47581952 is 25918574.

It is a super-2 number, since 2×47581952² = 4528084312260608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (47581957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171638 + ... + 171914.

Almost surely, 2^47581952 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 47581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52845576).

47581952 is an abundant number, since it is smaller than the sum of its proper divisors (58109200).

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

47581952 is a wasteful number, since it uses less digits than its factorization.

47581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its digits is 100800, while the sum is 41.

The square root of 47581952 is about 6897.9672368024. The cubic root of 47581952 is about 362.3659801048.

The spelling of 47581952 in words is "forty-seven million, five hundred eighty-one thousand, nine hundred fifty-two".