42052032 has 84 divisors (see below), whose sum is σ = 131512056. Its totient is φ = 12741120.

The previous prime is 42052007. The next prime is 42052039. The reversal of 42052032 is 23025024.

It is a super-3 number, since 3×42052032³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42051996 and 42052014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42052039) 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, 3018 + ... + 9654.

Almost surely, 2^42052032 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 42052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65756028).

42052032 is an abundant number, since it is smaller than the sum of its proper divisors (89460024).

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

42052032 is a wasteful number, since it uses less digits than its factorization.

42052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6666 (or 6653 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42052032 is about 6484.7538118266. The cubic root of 42052032 is about 347.7461486008.

Adding to 42052032 its reverse (23025024), we get a palindrome (65077056).

The spelling of 42052032 in words is "forty-two million, fifty-two thousand, thirty-two", and thus it is an eban number.