52749216 has 144 divisors (see below), whose sum is σ = 164605896. Its totient is φ = 15925248.

The previous prime is 52749211. The next prime is 52749217. The reversal of 52749216 is 61294725.

It can be written as a sum of positive squares in 4 ways, for example, as 31404816 + 21344400 = 5604^2 + 4620^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×52749216² = 5564959577229312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (52749211) by changing a digit.

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, 273216 + ... + 273408.

Almost surely, 2^52749216 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 52749216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82302948).

52749216 is an abundant number, since it is smaller than the sum of its proper divisors (111856680).

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

52749216 is a wasteful number, since it uses less digits than its factorization.

52749216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 52749216 is about 7262.8655501806. The cubic root of 52749216 is about 375.0351753671.

The spelling of 52749216 in words is "fifty-two million, seven hundred forty-nine thousand, two hundred sixteen".