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18264285 = 345133469
BaseRepresentation
bin100010110101…
…1000011011101
31021100220220000
41011223003131
514133424120
61451244513
7311146434
oct105530335
937326800
1018264285
11a345256
126149739
133a26390
1425d611b
15190b990
hex116b0dd

18264285 has 40 divisors (see below), whose sum is σ = 35269080. Its totient is φ = 8989056.

The previous prime is 18264241. The next prime is 18264299. The reversal of 18264285 is 58246281.

18264285 is a `hidden beast` number, since 1 + 8 + 2 + 642 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 599076 + 17665209 = 774^2 + 4203^2 .

It is not a de Polignac number, because 18264285 - 26 = 18264221 is a prime.

It is a super-2 number, since 2×182642852 = 667168213122450, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 3531 + ... + 6999.

It is an arithmetic number, because the mean of its divisors is an integer number (881727).

Almost surely, 218264285 is an apocalyptic number.

18264285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18264285 is a deficient number, since it is larger than the sum of its proper divisors (17004795).

18264285 is a wasteful number, since it uses less digits than its factorization.

18264285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3490 counting only the distinct ones).

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

The square root of 18264285 is about 4273.6734784024. The cubic root of 18264285 is about 263.3505472199.

The spelling of 18264285 in words is "eighteen million, two hundred sixty-four thousand, two hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 3469 5265 10407 17345 31221 45097 52035 93663 135291 156105 225485 280989 405873 468315 676455 1217619 1404945 2029365 3652857 6088095 18264285