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204881008 = 2417711032
BaseRepresentation
bin11000011011000…
…11110001110000
3112021112000220111
430031203301300
5404422143013
632155151104
75035313503
oct1415436160
9467460814
10204881008
11a5717152
1258745494
13335a5b87
141d2d313a
1512ec073d
hexc363c70

204881008 has 60 divisors (see below), whose sum is σ = 430405488. Its totient is φ = 94133760.

The previous prime is 204880993. The next prime is 204881011. The reversal of 204881008 is 800188402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1989085 + ... + 1989187.

Almost surely, 2204881008 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 204881008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215202744).

204881008 is an abundant number, since it is smaller than the sum of its proper divisors (225524480).

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

204881008 is a wasteful number, since it uses less digits than its factorization.

204881008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 204881008 is about 14313.6650792171. The cubic root of 204881008 is about 589.5227472522.

The spelling of 204881008 in words is "two hundred four million, eight hundred eighty-one thousand, eight".

Divisors: 1 2 4 8 16 17 34 68 71 103 136 142 206 272 284 412 568 824 1136 1207 1648 1751 2414 3502 4828 7004 7313 9656 10609 14008 14626 19312 21218 28016 29252 42436 58504 84872 117008 124321 169744 180353 248642 360706 497284 721412 753239 994568 1442824 1506478 1989136 2885648 3012956 6025912 12051824 12805063 25610126 51220252 102440504 204881008