52245600 has 144 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 12659200.

The previous prime is 52245593. The next prime is 52245601. The reversal of 52245600 is 654225.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52245601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25411 + ... + 27389.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^52245600 is an apocalyptic number.

52245600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

52245600 is an abundant number, since it is smaller than the sum of its proper divisors (133367520).

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

52245600 is a wasteful number, since it uses less digits than its factorization.

52245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 52245600 is about 7228.1117866286. Note that the first 3 decimals coincide. The cubic root of 52245600 is about 373.8378242028.

Adding to 52245600 its reverse (654225), we get a palindrome (52899825).

The spelling of 52245600 in words is "fifty-two million, two hundred forty-five thousand, six hundred".