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18004266 = 23272137149
BaseRepresentation
bin100010010101…
…1100100101010
31020212201012200
41010223210222
514102114031
61441521030
7306014400
oct104534452
936781180
1018004266
11a187965
126043176
133964c17
142569470
1518a98e6
hex112b92a

18004266 has 72 divisors (see below), whose sum is σ = 46016100. Its totient is φ = 5072256.

The previous prime is 18004249. The next prime is 18004279. The reversal of 18004266 is 66240081.

It can be written as a sum of positive squares in 2 ways, for example, as 17464041 + 540225 = 4179^2 + 735^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120760 + ... + 120908.

Almost surely, 218004266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18004266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23008050).

18004266 is an abundant number, since it is smaller than the sum of its proper divisors (28011834).

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

18004266 is a wasteful number, since it uses less digits than its factorization.

18004266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 18004266 is about 4243.1434102561. The cubic root of 18004266 is about 262.0948416425.

The spelling of 18004266 in words is "eighteen million, four thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 137 147 149 274 294 298 411 441 447 822 882 894 959 1043 1233 1341 1918 2086 2466 2682 2877 3129 5754 6258 6713 7301 8631 9387 13426 14602 17262 18774 20139 20413 21903 40278 40826 43806 60417 61239 65709 120834 122478 131418 142891 183717 285782 367434 428673 857346 1000237 1286019 2000474 2572038 3000711 6001422 9002133 18004266