47765952 has 84 divisors (see below), whose sum is σ = 147467320. Its totient is φ = 14694912.

The previous prime is 47765933. The next prime is 47765957. The reversal of 47765952 is 25956774.

It is a junction number, because it is equal to n+sod(n) for n = 47765898 and 47765907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47765957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4299 + ... + 10677.

Almost surely, 2^47765952 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 47765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73733660).

47765952 is an abundant number, since it is smaller than the sum of its proper divisors (99701368).

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

47765952 is a wasteful number, since it uses less digits than its factorization.

47765952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410 (or 6397 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 47765952 is about 6911.2916303684. The cubic root of 47765952 is about 362.8324705626.

The spelling of 47765952 in words is "forty-seven million, seven hundred sixty-five thousand, nine hundred fifty-two".