42002892 has 72 divisors (see below), whose sum is σ = 111576192. Its totient is φ = 13305600.

The previous prime is 42002879. The next prime is 42002893. The reversal of 42002892 is 29820024.

It is not an unprimeable number, because it can be changed into a prime (42002893) 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 23 ways as a sum of consecutive naturals, for example, 67768 + ... + 68384.

Almost surely, 2^42002892 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 42002892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55788096).

42002892 is an abundant number, since it is smaller than the sum of its proper divisors (69573300).

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

42002892 is a wasteful number, since it uses less digits than its factorization.

42002892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42002892 is about 6480.9638172111. The cubic root of 42002892 is about 347.6106426143.

The spelling of 42002892 in words is "forty-two million, two thousand, eight hundred ninety-two".