52082604 has 144 divisors (see below), whose sum is σ = 159344640. Its totient is φ = 14031360.

The previous prime is 52082599. The next prime is 52082609. The reversal of 52082604 is 40628025.

52082604 is a `hidden beast` number, since 52 + 0 + 8 + 2 + 604 = 666.

It is an interprime number because it is at equal distance from previous prime (52082599) and next prime (52082609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52082609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460852 + ... + 460964.

It is an arithmetic number, because the mean of its divisors is an integer number (1106560).

Almost surely, 2^52082604 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 52082604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

52082604 is an abundant number, since it is smaller than the sum of its proper divisors (107262036).

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

52082604 is a wasteful number, since it uses less digits than its factorization.

52082604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52082604 is about 7216.8278349979. The cubic root of 52082604 is about 373.4486523714.

The spelling of 52082604 in words is "fifty-two million, eighty-two thousand, six hundred four".