52306416 has 120 divisors (see below), whose sum is σ = 161909280. Its totient is φ = 15679488.

The previous prime is 52306409. The next prime is 52306417. The reversal of 52306416 is 61460325.

It is a super-2 number, since 2×52306416² = 5471922309530112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52306416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52306417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55840 + ... + 56768.

It is an arithmetic number, because the mean of its divisors is an integer number (1349244).

Almost surely, 2^52306416 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 52306416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80954640).

52306416 is an abundant number, since it is smaller than the sum of its proper divisors (109602864).

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

52306416 is a wasteful number, since it uses less digits than its factorization.

52306416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52306416 is about 7232.3174709079. The cubic root of 52306416 is about 373.9828220922.

The spelling of 52306416 in words is "fifty-two million, three hundred six thousand, four hundred sixteen".