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42186 = 237989
BaseRepresentation
bin1010010011001010
32010212110
422103022
52322221
6523150
7233664
oct122312
963773
1042186
1129771
12204b6
1316281
1411534
15c776
hexa4ca

42186 has 16 divisors (see below), whose sum is σ = 86400. Its totient is φ = 13728.

The previous prime is 42181. The next prime is 42187. The reversal of 42186 is 68124.

It can be divided in two parts, 4218 and 6, that added together give a palindrome (4224).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (42181) by changing a digit.

42186 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 430 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

242186 is an apocalyptic number.

42186 is an abundant number, since it is smaller than the sum of its proper divisors (44214).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

42186 is a wasteful number, since it uses less digits than its factorization.

42186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173.

The product of its digits is 384, while the sum is 21.

The square root of 42186 is about 205.3923075483. The cubic root of 42186 is about 34.8115036615.

The spelling of 42186 in words is "forty-two thousand, one hundred eighty-six".

Divisors: 1 2 3 6 79 89 158 178 237 267 474 534 7031 14062 21093 42186