42049584 has 160 divisors (see below), whose sum is σ = 130944000. Its totient is φ = 12877056.

The previous prime is 42049577. The next prime is 42049591. The reversal of 42049584 is 48594024.

It is an interprime number because it is at equal distance from previous prime (42049577) and next prime (42049591).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 385722 + ... + 385830.

It is an arithmetic number, because the mean of its divisors is an integer number (818400).

Almost surely, 2^42049584 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 42049584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65472000).

42049584 is an abundant number, since it is smaller than the sum of its proper divisors (88894416).

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

42049584 is a wasteful number, since it uses less digits than its factorization.

42049584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42049584 is about 6484.5650586604. The cubic root of 42049584 is about 347.7394006186.

The spelling of 42049584 in words is "forty-two million, forty-nine thousand, five hundred eighty-four".