52040 has 16 divisors (see below), whose sum is σ = 117180. Its totient is φ = 20800.

The previous prime is 52027. The next prime is 52051. The reversal of 52040 is 4025.

It can be written as a sum of positive squares in 2 ways, for example, as 42436 + 9604 = 206^2 + 98^2 .

It is a fibodiv number, since the Fibonacci-like sequence with seeds 520 and 40 contains 52040 itself.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 611 + ... + 690.

2⁵²⁰⁴⁰ is an apocalyptic number.

It is an amenable number.

52040 is an abundant number, since it is smaller than the sum of its proper divisors (65140).

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 (58590).

52040 is a wasteful number, since it uses less digits than its factorization.

52040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1308 counting only the distinct ones).

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

The square root of 52040 is about 228.1227739617. The cubic root of 52040 is about 37.3346796567.

Adding to 52040 its reverse (4025), we get a palindrome (56065).

The spelling of 52040 in words is "fifty-two thousand, forty", and thus it is an eban number.