52084580 has 48 divisors (see below), whose sum is σ = 114534000. Its totient is φ = 19869696.

The previous prime is 52084579. The next prime is 52084597. The reversal of 52084580 is 8548025.

It can be written as a sum of positive squares in 8 ways, for example, as 5271616 + 46812964 = 2296^2 + 6842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51116 + ... + 52124.

It is an arithmetic number, because the mean of its divisors is an integer number (2386125).

Almost surely, 2^52084580 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 52084580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57267000).

52084580 is an abundant number, since it is smaller than the sum of its proper divisors (62449420).

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

52084580 is a wasteful number, since it uses less digits than its factorization.

52084580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 52084580 is about 7216.9647359538. The cubic root of 52084580 is about 373.4533751589.

The spelling of 52084580 in words is "fifty-two million, eighty-four thousand, five hundred eighty".