42004992 has 160 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 12615680.

The previous prime is 42004979. The next prime is 42005053. The reversal of 42004992 is 29940024.

It is an unprimeable number.

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, 1024492 + ... + 1024532.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 2^42004992 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 42004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

42004992 is an abundant number, since it is smaller than the sum of its proper divisors (81737088).

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

42004992 is a wasteful number, since it uses less digits than its factorization.

42004992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42004992 is about 6481.1258281259. The cubic root of 42004992 is about 347.6164356296.

The spelling of 42004992 in words is "forty-two million, four thousand, nine hundred ninety-two".