52432 has 20 divisors (see below), whose sum is σ = 106020. Its totient is φ = 25088.

The previous prime is 52391. The next prime is 52433. The reversal of 52432 is 23425.

It can be written as a sum of positive squares in 2 ways, for example, as 10816 + 41616 = 104^2 + 204^2 .

It is a super-2 number, since 2×52432² = 5498229248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as 5⁵ + 2⁷ + 4⁷ + 3³ + 2¹⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52433) by changing a digit.

52432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 408 + ... + 520.

It is an arithmetic number, because the mean of its divisors is an integer number (5301).

2⁵²⁴³² 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 52432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53010).

52432 is an abundant number, since it is smaller than the sum of its proper divisors (53588).

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

52432 is a wasteful number, since it uses less digits than its factorization.

52432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its digits is 240, while the sum is 16.

The square root of 52432 is about 228.9803485018. The cubic root of 52432 is about 37.4281884966.

Adding to 52432 its reverse (23425), we get a palindrome (75857).

It can be divided in two parts, 52 and 432, that added together give a palindrome (484).

The spelling of 52432 in words is "fifty-two thousand, four hundred thirty-two".