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204880050 = 23352473229
BaseRepresentation
bin11000011011000…
…11100010110010
3112021111222121000
430031203202302
5404422130200
632155142430
75035310634
oct1415434262
9467458530
10204880050
11a5716461
1258744a16
13335a55cb
141d2d2a54
1512ec0300
hexc3638b2

204880050 has 96 divisors (see below), whose sum is σ = 576748800. Its totient is φ = 53455680.

The previous prime is 204880043. The next prime is 204880051. The reversal of 204880050 is 50088402.

204880050 = T4036 + T4037 + ... + T4060.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204879996 and 204880023.

It is not an unprimeable number, because it can be changed into a prime (204880051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 61836 + ... + 65064.

It is an arithmetic number, because the mean of its divisors is an integer number (6007800).

Almost surely, 2204880050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204880050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288374400).

204880050 is an abundant number, since it is smaller than the sum of its proper divisors (371868750).

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

204880050 is a wasteful number, since it uses less digits than its factorization.

204880050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 204880050 is about 14313.6316146532. The cubic root of 204880050 is about 589.5218284039.

The spelling of 204880050 in words is "two hundred four million, eight hundred eighty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 47 50 54 75 90 94 135 141 150 225 235 270 282 423 450 470 675 705 846 1175 1269 1350 1410 2115 2350 2538 3229 3525 4230 6345 6458 7050 9687 10575 12690 16145 19374 21150 29061 31725 32290 48435 58122 63450 80725 87183 96870 145305 151763 161450 174366 242175 290610 303526 435915 455289 484350 726525 758815 871830 910578 1365867 1453050 1517630 2179575 2276445 2731734 3794075 4097601 4359150 4552890 6829335 7588150 8195202 11382225 13658670 20488005 22764450 34146675 40976010 68293350 102440025 204880050