52806852 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 13893120.

The previous prime is 52806851. The next prime is 52806863. The reversal of 52806852 is 25860825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52806851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196174 + ... + 196442.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^52806852 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 52806852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

52806852 is an abundant number, since it is smaller than the sum of its proper divisors (112303548).

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

52806852 is a wasteful number, since it uses less digits than its factorization.

52806852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 52806852 is about 7266.8323222708. The cubic root of 52806852 is about 375.1717186885.

The spelling of 52806852 in words is "fifty-two million, eight hundred six thousand, eight hundred fifty-two".