42182406 has 96 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 11075328.

The previous prime is 42182383. The next prime is 42182411. The reversal of 42182406 is 60428124.

It is a self number, because there is not a number n which added to its sum of digits gives 42182406.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 100465 + ... + 100883.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^42182406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42182406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

42182406 is an abundant number, since it is smaller than the sum of its proper divisors (71036154).

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

42182406 is a wasteful number, since it uses less digits than its factorization.

42182406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42182406 is about 6494.7983802425. The cubic root of 42182406 is about 348.1051505475.

The spelling of 42182406 in words is "forty-two million, one hundred eighty-two thousand, four hundred six".