52100640 has 144 divisors (see below), whose sum is σ = 180107928. Its totient is φ = 13713408.

The previous prime is 52100591. The next prime is 52100647. The reversal of 52100640 is 4600125.

It is a happy number.

52100640 is a `hidden beast` number, since 5 + 21 + 0 + 0 + 640 = 666.

52100640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41525136 + 10575504 = 6444^2 + 3252^2 .

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 (18).

It is not an unprimeable number, because it can be changed into a prime (52100647) by changing a digit.

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, 139494 + ... + 139866.

Almost surely, 2^52100640 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 52100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90053964).

52100640 is an abundant number, since it is smaller than the sum of its proper divisors (128007288).

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

52100640 is a wasteful number, since it uses less digits than its factorization.

52100640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52100640 is about 7218.0773063192. The cubic root of 52100640 is about 373.4917553273.

Adding to 52100640 its reverse (4600125), we get a palindrome (56700765).

The spelling of 52100640 in words is "fifty-two million, one hundred thousand, six hundred forty".