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204686272 = 2671632803
BaseRepresentation
bin11000011001101…
…00001111000000
3112021011010210001
430030310033000
5404344430042
632151045344
75033542660
oct1414641700
9467133701
10204686272
11a55a390a
1258670854
133353834b
141d2821a0
1512e82bb7
hexc3343c0

204686272 has 56 divisors (see below), whose sum is σ = 467213696. Its totient is φ = 87153408.

The previous prime is 204686267. The next prime is 204686299. The reversal of 204686272 is 272686402.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 71623 + ... + 74425.

Almost surely, 2204686272 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 204686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233606848).

204686272 is an abundant number, since it is smaller than the sum of its proper divisors (262527424).

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

204686272 is a wasteful number, since it uses less digits than its factorization.

204686272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 204686272 is about 14306.8610114169. The cubic root of 204686272 is about 589.3359108469.

The spelling of 204686272 in words is "two hundred four million, six hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 163 224 326 448 652 1141 1304 2282 2608 2803 4564 5216 5606 9128 10432 11212 18256 19621 22424 36512 39242 44848 73024 78484 89696 156968 179392 313936 456889 627872 913778 1255744 1827556 3198223 3655112 6396446 7310224 12792892 14620448 25585784 29240896 51171568 102343136 204686272