52438032 has 90 divisors (see below), whose sum is σ = 152339642. Its totient is φ = 16837632.

The previous prime is 52438031. The next prime is 52438033. The reversal of 52438032 is 23083425.

It is an interprime number because it is at equal distance from previous prime (52438031) and next prime (52438033).

It can be written as a sum of positive squares in 3 ways, for example, as 1971216 + 50466816 = 1404^2 + 7104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52437987 and 52438005.

It is not an unprimeable number, because it can be changed into a prime (52438031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120888 + ... + 121320.

Almost surely, 2^52438032 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 52438032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76169821).

52438032 is an abundant number, since it is smaller than the sum of its proper divisors (99901610).

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

52438032 is a wasteful number, since it uses less digits than its factorization.

52438032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 52438032 is about 7241.4109122463. The cubic root of 52438032 is about 374.2962374081.

The spelling of 52438032 in words is "fifty-two million, four hundred thirty-eight thousand, thirty-two".