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204638928 = 2431317101191
BaseRepresentation
bin11000011001010…
…00101011010000
3112021001201211120
430030220223100
5404341421203
632150042240
75033254644
oct1414505320
9467051746
10204638928
11a557128a
1258649380
133351c930
141d26cc24
1512e73b53
hexc328ad0

204638928 has 160 divisors (see below), whose sum is σ = 611960832. Its totient is φ = 58368000.

The previous prime is 204638909. The next prime is 204638939. The reversal of 204638928 is 829836402.

It is a self number, because there is not a number n which added to its sum of digits gives 204638928.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1071313 + ... + 1071503.

Almost surely, 2204638928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204638928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305980416).

204638928 is an abundant number, since it is smaller than the sum of its proper divisors (407321904).

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

204638928 is a wasteful number, since it uses less digits than its factorization.

204638928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 204638928 is about 14305.2063249713. The cubic root of 204638928 is about 589.2904694818.

The spelling of 204638928 in words is "two hundred four million, six hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 101 102 104 136 156 191 202 204 208 221 272 303 312 382 404 408 442 573 606 624 663 764 808 816 884 1146 1212 1313 1326 1528 1616 1717 1768 2292 2424 2483 2626 2652 3056 3247 3434 3536 3939 4584 4848 4966 5151 5252 5304 6494 6868 7449 7878 9168 9741 9932 10302 10504 10608 12988 13736 14898 15756 19291 19482 19864 20604 21008 22321 25976 27472 29796 31512 38582 38964 39728 41208 42211 44642 51952 57873 59592 63024 66963 77164 77928 82416 84422 89284 115746 119184 126633 133926 154328 155856 168844 178568 231492 250783 253266 267852 308656 327947 337688 357136 462984 501566 506532 535704 655894 675376 752349 925968 983841 1003132 1013064 1071408 1311788 1504698 1967682 2006264 2026128 2623576 3009396 3935364 4012528 4263311 5247152 6018792 7870728 8526622 12037584 12789933 15741456 17053244 25579866 34106488 51159732 68212976 102319464 204638928