52938816 has 168 divisors, whose sum is σ = 173041056. Its totient is φ = 14192640.

The previous prime is 52938727. The next prime is 52938827. The reversal of 52938816 is 61883925.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (103680) is a multiple of the sum of its prime divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159771 + ... + 160101.

Almost surely, 2^52938816 is an apocalyptic number.

52938816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86520528).

52938816 is an abundant number, since it is smaller than the sum of its proper divisors (120102240).

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

52938816 is a wasteful number, since it uses less digits than its factorization.

52938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 360 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 52938816 is about 7275.9065414558. The cubic root of 52938816 is about 375.4839759995.

The spelling of 52938816 in words is "fifty-two million, nine hundred thirty-eight thousand, eight hundred sixteen".