Search a number
-
+
18086292 = 22327210253
BaseRepresentation
bin100010011111…
…1100110010100
31021000212201200
41010333212110
514112230132
61443352500
7306505500
oct104774624
937025650
1018086292
11a233554
126082730
133993363
14258b300
1518c3d7c
hex113f994

18086292 has 54 divisors (see below), whose sum is σ = 53187498. Its totient is φ = 5167008.

The previous prime is 18086279. The next prime is 18086357. The reversal of 18086292 is 29268081.

It can be written as a sum of positive squares in only one way, i.e., 12152196 + 5934096 = 3486^2 + 2436^2 .

It is a super-2 number, since 2×180862922 = 654227916618528, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 3363 + ... + 6890.

Almost surely, 218086292 is an apocalyptic number.

18086292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18086292 is an abundant number, since it is smaller than the sum of its proper divisors (35101206).

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

18086292 is a wasteful number, since it uses less digits than its factorization.

18086292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10277 (or 10265 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18086292 is about 4252.7981376971. The cubic root of 18086292 is about 262.4922664388.

It can be divided in two parts, 1808 and 6292, that added together give a square (8100 = 902).

The spelling of 18086292 in words is "eighteen million, eighty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 10253 20506 30759 41012 61518 71771 92277 123036 143542 184554 215313 287084 369108 430626 502397 645939 861252 1004794 1291878 1507191 2009588 2583756 3014382 4521573 6028764 9043146 18086292