42166256 has 60 divisors (see below), whose sum is σ = 94789320. Its totient is φ = 18017280.

The previous prime is 42166253. The next prime is 42166259. The reversal of 42166256 is 65266124.

42166256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42166253) and next prime (42166259).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42166253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50450 + ... + 51278.

It is an arithmetic number, because the mean of its divisors is an integer number (1579822).

Almost surely, 2^42166256 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 42166256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47394660).

42166256 is an abundant number, since it is smaller than the sum of its proper divisors (52623064).

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

42166256 is a wasteful number, since it uses less digits than its factorization.

42166256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 859 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 42166256 is about 6493.5549585724. The cubic root of 42166256 is about 348.0607195763.

The spelling of 42166256 in words is "forty-two million, one hundred sixty-six thousand, two hundred fifty-six".