52017416 has 96 divisors (see below), whose sum is σ = 118503000. Its totient is φ = 21288960.

The previous prime is 52017389. The next prime is 52017439. The reversal of 52017416 is 61471025.

It can be written as a sum of positive squares in 4 ways, for example, as 51122500 + 894916 = 7150^2 + 946^2 .

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 23 ways as a sum of consecutive naturals, for example, 477170 + ... + 477278.

Almost surely, 2^52017416 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 52017416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59251500).

52017416 is an abundant number, since it is smaller than the sum of its proper divisors (66485584).

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

52017416 is a wasteful number, since it uses less digits than its factorization.

52017416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 52017416 is about 7212.3100321603. The cubic root of 52017416 is about 373.2927811679.

The spelling of 52017416 in words is "fifty-two million, seventeen thousand, four hundred sixteen".