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185086242 = 233111718329
BaseRepresentation
bin10110000100000…
…11000100100010
3110220021100121000
423002003010202
5334340224432
630211012430
74405131015
oct1302030442
9426240530
10185086242
1195527040
1251b9a116
132c464cb3
141a81d37c
15113b057c
hexb083122

185086242 has 64 divisors (see below), whose sum is σ = 475113600. Its totient is φ = 52784640.

The previous prime is 185086241. The next prime is 185086271. The reversal of 185086242 is 242680581.

It is a junction number, because it is equal to n+sod(n) for n = 185086197 and 185086206.

It is not an unprimeable number, because it can be changed into a prime (185086241) 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, 934 + ... + 19262.

It is an arithmetic number, because the mean of its divisors is an integer number (7423650).

Almost surely, 2185086242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185086242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237556800).

185086242 is an abundant number, since it is smaller than the sum of its proper divisors (290027358).

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

185086242 is a wasteful number, since it uses less digits than its factorization.

185086242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18368 (or 18362 counting only the distinct ones).

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

The square root of 185086242 is about 13604.6404583142. The cubic root of 185086242 is about 569.8904498607.

The spelling of 185086242 in words is "one hundred eighty-five million, eighty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 18329 36658 54987 109974 164961 201619 311593 329922 403238 494883 604857 623186 934779 989766 1209714 1814571 1869558 2804337 3427523 3629142 5443713 5608674 6855046 8413011 10282569 10887426 16826022 20565138 30847707 61695414 92543121 185086242