42332992 has 112 divisors (see below), whose sum is σ = 99468432. Its totient is φ = 17694720.

The previous prime is 42332989. The next prime is 42332993. The reversal of 42332992 is 29923324.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3594816 + 38738176 = 1896^2 + 6224^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42332993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579868 + ... + 579940.

It is an arithmetic number, because the mean of its divisors is an integer number (888111).

Almost surely, 2^42332992 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 42332992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49734216).

42332992 is an abundant number, since it is smaller than the sum of its proper divisors (57135440).

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

42332992 is a wasteful number, since it uses less digits than its factorization.

42332992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 42332992 is about 6506.3808680402. The cubic root of 42332992 is about 348.5188894592.

It can be divided in two parts, 4233 and 2992, that added together give a square (7225 = 85²).

The spelling of 42332992 in words is "forty-two million, three hundred thirty-two thousand, nine hundred ninety-two".