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206284728 = 233133531873
BaseRepresentation
bin11000100101110…
…10011110111000
3112101011100110010
430102322132320
5410302102403
632245221520
75053251126
oct1422723670
9471140403
10206284728
11a6495851
12591018a0
1333977a90
141d57a916
151319b603
hexc4ba7b8

206284728 has 64 divisors (see below), whose sum is σ = 557252640. Its totient is φ = 63258624.

The previous prime is 206284711. The next prime is 206284733. The reversal of 206284728 is 827482602.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109200 + ... + 111072.

Almost surely, 2206284728 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 206284728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278626320).

206284728 is an abundant number, since it is smaller than the sum of its proper divisors (350967912).

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

206284728 is a wasteful number, since it uses less digits than its factorization.

206284728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 206284728 is about 14362.6156392212. The cubic root of 206284728 is about 590.8660344945.

The spelling of 206284728 in words is "two hundred six million, two hundred eighty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 353 706 1059 1412 1873 2118 2824 3746 4236 4589 5619 7492 8472 9178 11238 13767 14984 18356 22476 24349 27534 36712 44952 48698 55068 73047 97396 110136 146094 194792 292188 584376 661169 1322338 1983507 2644676 3967014 5289352 7934028 8595197 15868056 17190394 25785591 34380788 51571182 68761576 103142364 206284728