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42535188 = 223223471093
BaseRepresentation
bin1010001001000…
…0100100010100
32222001000022100
42202100210110
541342111223
64115402100
71024354203
oct242204424
988030270
1042535188
1122012353
12122b3330
138a73767
14591323a
153b03043
hex2890914

42535188 has 72 divisors (see below), whose sum is σ = 114686208. Its totient is φ = 13261248.

The previous prime is 42535187. The next prime is 42535223. The reversal of 42535188 is 88153524.

It is a happy number.

42535188 is a `hidden beast` number, since 42 + 535 + 1 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42535187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38370 + ... + 39462.

It is an arithmetic number, because the mean of its divisors is an integer number (1592864).

Almost surely, 242535188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42535188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57343104).

42535188 is an abundant number, since it is smaller than the sum of its proper divisors (72151020).

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

42535188 is a wasteful number, since it uses less digits than its factorization.

42535188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1168 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 42535188 is about 6521.9006432174. The cubic root of 42535188 is about 349.0728878451.

The spelling of 42535188 in words is "forty-two million, five hundred thirty-five thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 47 69 92 94 138 141 188 207 276 282 414 423 564 828 846 1081 1093 1692 2162 2186 3243 3279 4324 4372 6486 6558 9729 9837 12972 13116 19458 19674 25139 38916 39348 50278 51371 75417 100556 102742 150834 154113 205484 226251 301668 308226 452502 462339 616452 905004 924678 1181533 1849356 2363066 3544599 4726132 7089198 10633797 14178396 21267594 42535188