52008 has 32 divisors (see below), whose sum is σ = 142560. Its totient is φ = 15680.

The previous prime is 51991. The next prime is 52009. The reversal of 52008 is 80025.

It is not an unprimeable number, because it can be changed into a prime (52009) by changing a digit.

52008 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 166 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

2⁵²⁰⁰⁸ is an apocalyptic number.

52008 is the 132-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71280).

52008 is an abundant number, since it is smaller than the sum of its proper divisors (90552).

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

52008 is a wasteful number, since it uses less digits than its factorization.

52008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 52008 is about 228.0526255056. The cubic root of 52008 is about 37.3270255783.

The spelling of 52008 in words is "fifty-two thousand, eight".