42501186 has 144 divisors (see below), whose sum is σ = 121447872. Its totient is φ = 10847520.

The previous prime is 42501163. The next prime is 42501209. The reversal of 42501186 is 68110524.

It is an interprime number because it is at equal distance from previous prime (42501163) and next prime (42501209).

It is a super-2 number, since 2×42501186² = 3612701622813192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 1370991 + ... + 1371021.

It is an arithmetic number, because the mean of its divisors is an integer number (843388).

Almost surely, 2^42501186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42501186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60723936).

42501186 is an abundant number, since it is smaller than the sum of its proper divisors (78946686).

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

42501186 is a wasteful number, since it uses less digits than its factorization.

42501186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 42501186 is about 6519.2933666157. The cubic root of 42501186 is about 348.9798484819.

The spelling of 42501186 in words is "forty-two million, five hundred one thousand, one hundred eighty-six".