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204288608 = 25192771213
BaseRepresentation
bin11000010110100…
…11001001100000
3112020101221021202
430023103021200
5404244213413
632134340332
75030265416
oct1413231140
9466357252
10204288608
11a5352067
12584ba6a8
1333429344
141d1bb2b6
1512e04e58
hexc2d3260

204288608 has 48 divisors (see below), whose sum is σ = 425239920. Its totient is φ = 96339456.

The previous prime is 204288569. The next prime is 204288611. The reversal of 204288608 is 806882402.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 167810 + ... + 169022.

It is an arithmetic number, because the mean of its divisors is an integer number (8859165).

Almost surely, 2204288608 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 204288608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212619960).

204288608 is an abundant number, since it is smaller than the sum of its proper divisors (220951312).

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

204288608 is a wasteful number, since it uses less digits than its factorization.

204288608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 204288608 is about 14292.9565870746. The cubic root of 204288608 is about 588.9540099549.

The spelling of 204288608 in words is "two hundred four million, two hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 277 304 554 608 1108 1213 2216 2426 4432 4852 5263 8864 9704 10526 19408 21052 23047 38816 42104 46094 84208 92188 168416 184376 336001 368752 672002 737504 1344004 2688008 5376016 6384019 10752032 12768038 25536076 51072152 102144304 204288608