52083648 has 168 divisors, whose sum is σ = 164756592. Its totient is φ = 16257024.

The previous prime is 52083637. The next prime is 52083667. The reversal of 52083648 is 84638025.

52083648 is a `hidden beast` number, since 5 + 2 + 0 + 8 + 3 + 648 = 666.

52083648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264286 + ... + 264482.

It is an arithmetic number, because the mean of its divisors is an integer number (980694).

Almost surely, 2^52083648 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 52083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82378296).

52083648 is an abundant number, since it is smaller than the sum of its proper divisors (112672944).

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

52083648 is a wasteful number, since it uses less digits than its factorization.

52083648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 52083648 is about 7216.9001655836. The cubic root of 52083648 is about 373.4511476242.

The spelling of 52083648 in words is "fifty-two million, eighty-three thousand, six hundred forty-eight".