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42180237 = 3311212911
BaseRepresentation
bin1010000011100…
…1111010001101
32221100222102000
42200321322031
541244231422
64104022513
71021345311
oct240717215
987328360
1042180237
112189a700
1212161a39
13897b028
14585db41
153a82cac
hex2839e8d

42180237 has 24 divisors (see below), whose sum is σ = 68691840. Its totient is φ = 25561800.

The previous prime is 42180217. The next prime is 42180241. The reversal of 42180237 is 73208124.

42180237 is a `hidden beast` number, since 421 + 8 + 0 + 237 = 666.

42180237 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42180237 - 223 = 33791629 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42180237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42180217) 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 23 ways as a sum of consecutive naturals, for example, 3189 + ... + 9722.

It is an arithmetic number, because the mean of its divisors is an integer number (2862160).

Almost surely, 242180237 is an apocalyptic number.

It is an amenable number.

42180237 is a deficient number, since it is larger than the sum of its proper divisors (26511603).

42180237 is a wasteful number, since it uses less digits than its factorization.

42180237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12942 (or 12925 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42180237 is about 6494.6313983166. The cubic root of 42180237 is about 348.0991839761.

The spelling of 42180237 in words is "forty-two million, one hundred eighty thousand, two hundred thirty-seven".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 12911 38733 116199 142021 348597 426063 1278189 1562231 3834567 4686693 14060079 42180237