52084736 has 90 divisors (see below), whose sum is σ = 120713628. Its totient is φ = 22282240.

The previous prime is 52084733. The next prime is 52084777. The reversal of 52084736 is 63748025.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 52084696 and 52084705.

It is not an unprimeable number, because it can be changed into a prime (52084733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3063800 + ... + 3063816.

Almost surely, 2^52084736 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 52084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60356814).

52084736 is an abundant number, since it is smaller than the sum of its proper divisors (68628892).

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

52084736 is an equidigital number, since it uses as much as digits as its factorization.

52084736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 52084736 is about 7216.9755438134. The cubic root of 52084736 is about 373.4537480054.

The spelling of 52084736 in words is "fifty-two million, eighty-four thousand, seven hundred thirty-six".