52352144 has 60 divisors (see below), whose sum is σ = 115729200. Its totient is φ = 22868352.

The previous prime is 52352123. The next prime is 52352147. The reversal of 52352144 is 44125325.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (52352147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50867 + ... + 51885.

It is an arithmetic number, because the mean of its divisors is an integer number (1928820).

Almost surely, 2^52352144 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 52352144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57864600).

52352144 is an abundant number, since it is smaller than the sum of its proper divisors (63377056).

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

52352144 is a wasteful number, since it uses less digits than its factorization.

52352144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1053 counting only the distinct ones).

The product of its digits is 4800, while the sum is 26.

The square root of 52352144 is about 7235.4781459141. The cubic root of 52352144 is about 374.0917730690.

Adding to 52352144 its reverse (44125325), we get a palindrome (96477469).

The spelling of 52352144 in words is "fifty-two million, three hundred fifty-two thousand, one hundred forty-four".