52812144 has 180 divisors, whose sum is σ = 186095728. Its totient is φ = 13685760.

The previous prime is 52812113. The next prime is 52812169. The reversal of 52812144 is 44121825.

52812144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×52812144⁴ (a number of 32 digits) contains 4444 as substring.

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 35 ways as a sum of consecutive naturals, for example, 121752 + ... + 122184.

Almost surely, 2^52812144 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 52812144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93047864).

52812144 is an abundant number, since it is smaller than the sum of its proper divisors (133283584).

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

52812144 is a wasteful number, since it uses less digits than its factorization.

52812144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 456 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 52812144 is about 7267.1964332884. The cubic root of 52812144 is about 375.1842507896.

Adding to 52812144 its reverse (44121825), we get a palindrome (96933969).

The spelling of 52812144 in words is "fifty-two million, eight hundred twelve thousand, one hundred forty-four".