40052 has 24 divisors (see below), whose sum is σ = 80640. Its totient is φ = 17280.

The previous prime is 40039. The next prime is 40063. The reversal of 40052 is 25004.

40052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40052.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁴⁰⁰⁵² is an apocalyptic number.

It is an amenable number.

40052 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

40052 is a wasteful number, since it uses less digits than its factorization.

40052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 40052 is about 200.1299577774. The cubic root of 40052 is about 34.2143323078.

Adding to 40052 its reverse (25004), we get a palindrome (65056).

The spelling of 40052 in words is "forty thousand, fifty-two", and thus it is an eban number.