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204288399 = 36731943
BaseRepresentation
bin11000010110100…
…11000110001111
3112020101221000000
430023103012033
5404244212044
632134335343
75030265000
oct1413230617
9466357000
10204288399
11a5351997
12584ba553
1333429213
141d1bb1a7
1512e04d69
hexc2d318f

204288399 has 112 divisors (see below), whose sum is σ = 384736000. Its totient is φ = 108020304.

The previous prime is 204288379. The next prime is 204288401. The reversal of 204288399 is 993882402.

204288399 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204288399 - 29 = 204287887 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204288319) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4750872 + ... + 4750914.

Almost surely, 2204288399 is an apocalyptic number.

204288399 is a deficient number, since it is larger than the sum of its proper divisors (180447601).

204288399 is an frugal number, since it uses more digits than its factorization.

204288399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 204288399 is about 14292.9492757793. The cubic root of 204288399 is about 588.9538091093.

The spelling of 204288399 in words is "two hundred four million, two hundred eighty-eight thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 19 21 27 43 49 57 63 81 129 133 147 171 189 243 301 343 387 399 441 513 567 729 817 903 931 1029 1161 1197 1323 1539 1701 2107 2451 2709 2793 3087 3483 3591 3969 4617 5103 5719 6321 6517 7353 8127 8379 9261 10449 10773 11907 13851 14749 17157 18963 19551 22059 24381 25137 27783 31347 32319 35721 40033 44247 51471 56889 58653 66177 73143 75411 83349 96957 120099 132741 154413 170667 175959 198531 219429 226233 250047 280231 360297 398223 463239 512001 527877 595593 678699 840693 1080891 1194669 1389717 1536003 1583631 2522079 3242673 3584007 4169151 4750893 7566237 9728019 10752021 22698711 29184057 68096133 204288399