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42285186 = 2334171269
BaseRepresentation
bin1010000101001…
…1100010000010
32221120022101000
42201103202002
541311111221
64110152430
71022263266
oct241234202
987508330
1042285186
1121961539
12121b2716
1389b6a28
14588a0a6
153aa3e26
hex2853882

42285186 has 64 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 13507200.

The previous prime is 42285181. The next prime is 42285193. The reversal of 42285186 is 68158224.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42285186.

It is not an unprimeable number, because it can be changed into a prime (42285181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157060 + ... + 157328.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 242285186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42285186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

42285186 is an abundant number, since it is smaller than the sum of its proper divisors (55692414).

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

42285186 is a wasteful number, since it uses less digits than its factorization.

42285186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 386 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 42285186 is about 6502.7060520986. The cubic root of 42285186 is about 348.3876476943.

The spelling of 42285186 in words is "forty-two million, two hundred eighty-five thousand, one hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 41 54 71 82 123 142 213 246 269 369 426 538 639 738 807 1107 1278 1614 1917 2214 2421 2911 3834 4842 5822 7263 8733 11029 14526 17466 19099 22058 26199 33087 38198 52398 57297 66174 78597 99261 114594 157194 171891 198522 297783 343782 515673 595566 783059 1031346 1566118 2349177 4698354 7047531 14095062 21142593 42285186