52947840 has 256 divisors, whose sum is σ = 193881600. Its totient is φ = 12165120.

The previous prime is 52947827. The next prime is 52947847. The reversal of 52947840 is 4874925.

52947840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52947847) 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 31 ways as a sum of consecutive naturals, for example, 485706 + ... + 485814.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 2^52947840 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 52947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

52947840 is an abundant number, since it is smaller than the sum of its proper divisors (140933760).

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

52947840 is a wasteful number, since it uses less digits than its factorization.

52947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 52947840 is about 7276.5266439421. The cubic root of 52947840 is about 375.5053099037.

The spelling of 52947840 in words is "fifty-two million, nine hundred forty-seven thousand, eight hundred forty".