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853329204 = 22327131012579
BaseRepresentation
bin110010110111001…
…100010100110100
32012110200121121100
4302313030110310
53221423013304
6220401450100
730101115150
oct6267142464
92173617540
10853329204
113a8755952
121b9940930
13107a35730
148148c060
154edad439
hex32dcc534

853329204 has 144 divisors (see below), whose sum is σ = 2682126720. Its totient is φ = 222739200.

The previous prime is 853329151. The next prime is 853329221. The reversal of 853329204 is 402923358.

853329204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329587 + ... + 332165.

It is an arithmetic number, because the mean of its divisors is an integer number (18625880).

Almost surely, 2853329204 is an apocalyptic number.

853329204 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853329204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341063360).

853329204 is an abundant number, since it is smaller than the sum of its proper divisors (1828797516).

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

853329204 is a wasteful number, since it uses less digits than its factorization.

853329204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 853329204 is about 29211.7990544917. The cubic root of 853329204 is about 948.5033512367.

The spelling of 853329204 in words is "eight hundred fifty-three million, three hundred twenty-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 101 117 126 156 182 202 234 252 273 303 364 404 468 546 606 707 819 909 1092 1212 1313 1414 1638 1818 2121 2579 2626 2828 3276 3636 3939 4242 5158 5252 6363 7737 7878 8484 9191 10316 11817 12726 15474 15756 18053 18382 23211 23634 25452 27573 30948 33527 36106 36764 46422 47268 54159 55146 67054 72212 82719 92844 100581 108318 110292 134108 162477 165438 201162 216636 234689 260479 301743 324954 330876 402324 469378 520958 603486 649908 704067 781437 938756 1041916 1206972 1408134 1562874 1823353 2112201 2344311 2816268 3125748 3386227 3646706 4224402 4688622 5470059 6772454 7293412 8448804 9377244 10158681 10940118 13544908 16410177 20317362 21880236 23703589 30476043 32820354 40634724 47407178 60952086 65640708 71110767 94814356 121904172 142221534 213332301 284443068 426664602 853329204