50952 has 32 divisors (see below), whose sum is σ = 139680. Its totient is φ = 15360.

The previous prime is 50951. The next prime is 50957. The reversal of 50952 is 25905.

It is a super-2 number, since 2×50952² = 5192212608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (50951) 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, 168 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (4365).

2⁵⁰⁹⁵² 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 50952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69840).

50952 is an abundant number, since it is smaller than the sum of its proper divisors (88728).

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

50952 is a wasteful number, since it uses less digits than its factorization.

50952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 50952 is about 225.7254970091. The cubic root of 50952 is about 37.0726597513.

It can be divided in two parts, 509 and 52, that added together give a triangular number (561 = T₃₃).

The spelling of 50952 in words is "fifty thousand, nine hundred fifty-two".