42042176 has 84 divisors (see below), whose sum is σ = 94251780. Its totient is φ = 18585600.

The previous prime is 42042167. The next prime is 42042191. The reversal of 42042176 is 67124024.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 37945600 = 2024^2 + 6160^2 .

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 11 ways as a sum of consecutive naturals, for example, 472340 + ... + 472428.

It is an arithmetic number, because the mean of its divisors is an integer number (1122045).

Almost surely, 2^42042176 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 42042176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47125890).

42042176 is an abundant number, since it is smaller than the sum of its proper divisors (52209604).

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

42042176 is a wasteful number, since it uses less digits than its factorization.

42042176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 42042176 is about 6483.9938309656. The cubic root of 42042176 is about 347.7189786585.

The spelling of 42042176 in words is "forty-two million, forty-two thousand, one hundred seventy-six".