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42188 = 2253199
BaseRepresentation
bin1010010011001100
32010212112
422103030
52322223
6523152
7233666
oct122314
963775
1042188
1129773
12204b8
1316283
1411536
15c778
hexa4cc

42188 has 12 divisors (see below), whose sum is σ = 75600. Its totient is φ = 20592.

The previous prime is 42187. The next prime is 42193. The reversal of 42188 is 88124.

Its product of digits (512) is a multiple of the sum of its prime factors (256).

It is a plaindrome in base 7.

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

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 3 ways as a sum of consecutive naturals, for example, 113 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

242188 is an apocalyptic number.

It is an amenable number.

42188 is a deficient number, since it is larger than the sum of its proper divisors (33412).

42188 is a wasteful number, since it uses less digits than its factorization.

42188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 42188 is about 205.3971762221. The cubic root of 42188 is about 34.8120537801.

The spelling of 42188 in words is "forty-two thousand, one hundred eighty-eight".

Divisors: 1 2 4 53 106 199 212 398 796 10547 21094 42188