52748640 has 144 divisors (see below), whose sum is σ = 205759008. Its totient is φ = 12054528.

The previous prime is 52748629. The next prime is 52748681. The reversal of 52748640 is 4684725.

52748640 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 8 + 640 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 52748595 and 52748604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7464 + ... + 12696.

It is an arithmetic number, because the mean of its divisors is an integer number (1428882).

Almost surely, 2^52748640 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 52748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102879504).

52748640 is an abundant number, since it is smaller than the sum of its proper divisors (153010368).

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

52748640 is a wasteful number, since it uses less digits than its factorization.

52748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5261 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 52748640 is about 7262.8258963023. The cubic root of 52748640 is about 375.0338102849.

The spelling of 52748640 in words is "fifty-two million, seven hundred forty-eight thousand, six hundred forty".