47952 has 50 divisors (see below), whose sum is σ = 142538. Its totient is φ = 15552.

The previous prime is 47951. The next prime is 47963. The reversal of 47952 is 25974.

47952 is nontrivially palindromic in base 11.

47952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 1296 = 216^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2520) is a multiple of the sum of its prime divisors (42).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47951) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1278 + ... + 1314.

2⁴⁷⁹⁵² 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 47952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71269).

47952 is an abundant number, since it is smaller than the sum of its proper divisors (94586).

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

47952 is a wasteful number, since it uses less digits than its factorization.

47952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 42 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 47952 is about 218.9794510907. The cubic root of 47952 is about 36.3302936791.

It can be divided in two parts, 47 and 952, that multiplied together give a palindrome (44744).

The spelling of 47952 in words is "forty-seven thousand, nine hundred fifty-two".