52738160 has 80 divisors (see below), whose sum is σ = 127036512. Its totient is φ = 20352000.

The previous prime is 52738159. The next prime is 52738171. The reversal of 52738160 is 6183725.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 492827 + ... + 492933.

Almost surely, 2^52738160 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 52738160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63518256).

52738160 is an abundant number, since it is smaller than the sum of its proper divisors (74298352).

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

52738160 is a wasteful number, since it uses less digits than its factorization.

With its successor (52738161) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (282).

52738160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 52738160 is about 7262.1043782088. The cubic root of 52738160 is about 375.0089716372.

The spelling of 52738160 in words is "fifty-two million, seven hundred thirty-eight thousand, one hundred sixty".