52824240 has 240 divisors, whose sum is σ = 207986688. Its totient is φ = 11764224.

The previous prime is 52824221. The next prime is 52824241. The reversal of 52824240 is 4242825.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (52824241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236769 + ... + 236991.

Almost surely, 2^52824240 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 52824240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103993344).

52824240 is an abundant number, since it is smaller than the sum of its proper divisors (155162448).

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

52824240 is a wasteful number, since it uses less digits than its factorization.

52824240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 52824240 is about 7268.0286185457. The cubic root of 52824240 is about 375.2128924486.

The spelling of 52824240 in words is "fifty-two million, eight hundred twenty-four thousand, two hundred forty".