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204004836 = 2232721091061
BaseRepresentation
bin11000010100011…
…01110111100100
3112012212112000200
430022031313210
5404211123321
632124310500
75025004200
oct1412156744
9465775020
10204004836
11a5178942
12583a2430
133335a129
141d145b00
1512d9ad26
hexc28dde4

204004836 has 108 divisors (see below), whose sum is σ = 605945340. Its totient is φ = 57697920.

The previous prime is 204004817. The next prime is 204004837. The reversal of 204004836 is 638400402.

204004836 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 138297600 + 65707236 = 11760^2 + 8106^2 .

It is a super-3 number, since 3×2040048363 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (204004837) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 191746 + ... + 192806.

It is an arithmetic number, because the mean of its divisors is an integer number (5610605).

Almost surely, 2204004836 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 204004836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302972670).

204004836 is an abundant number, since it is smaller than the sum of its proper divisors (401940504).

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

204004836 is a wasteful number, since it uses less digits than its factorization.

204004836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 204004836 is about 14283.0261499446. The cubic root of 204004836 is about 588.6811833504.

The spelling of 204004836 in words is "two hundred four million, four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 109 126 147 196 218 252 294 327 436 441 588 654 763 882 981 1061 1308 1526 1764 1962 2122 2289 3052 3183 3924 4244 4578 5341 6366 6867 7427 9156 9549 10682 12732 13734 14854 16023 19098 21364 22281 27468 29708 32046 38196 44562 48069 51989 64092 66843 89124 96138 103978 115649 133686 155967 192276 207956 231298 267372 311934 346947 462596 467901 623868 693894 809543 935802 1040841 1387788 1619086 1871604 2081682 2428629 3238172 4163364 4857258 5666801 7285887 9714516 11333602 14571774 17000403 22667204 29143548 34000806 51001209 68001612 102002418 204004836