42033792 has 128 divisors (see below), whose sum is σ = 121616640. Its totient is φ = 12812288.

The previous prime is 42033791. The next prime is 42033821. The reversal of 42033792 is 29733024.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (42033791) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 306748 + ... + 306884.

It is an arithmetic number, because the mean of its divisors is an integer number (950130).

Almost surely, 2^42033792 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 42033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60808320).

42033792 is an abundant number, since it is smaller than the sum of its proper divisors (79582848).

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

42033792 is a wasteful number, since it uses less digits than its factorization.

42033792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 42033792 is about 6483.3472836182. The cubic root of 42033792 is about 347.6958632222.

The spelling of 42033792 in words is "forty-two million, thirty-three thousand, seven hundred ninety-two".