52584140 has 48 divisors (see below), whose sum is σ = 129294144. Its totient is φ = 17587200.

The previous prime is 52584101. The next prime is 52584143. The reversal of 52584140 is 4148525.

52584140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52584143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1160 + ... + 10320.

It is an arithmetic number, because the mean of its divisors is an integer number (2693628).

Almost surely, 2^52584140 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 52584140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64647072).

52584140 is an abundant number, since it is smaller than the sum of its proper divisors (76710004).

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

52584140 is a wasteful number, since it uses less digits than its factorization.

52584140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9218 (or 9216 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 52584140 is about 7251.4922602179. The cubic root of 52584140 is about 374.6435486947.

The spelling of 52584140 in words is "fifty-two million, five hundred eighty-four thousand, one hundred forty".