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204842724 = 2231719411289
BaseRepresentation
bin11000011010110…
…10011011100100
3112021110002101120
430031122123210
5404414431344
632154253540
75035064052
oct1415323344
9467402346
10204842724
11a56a0409
12587272b0
1333591618
141d2c31d2
1512eb4219
hexc35a6e4

204842724 has 96 divisors (see below), whose sum is σ = 546134400. Its totient is φ = 59351040.

The previous prime is 204842713. The next prime is 204842731. The reversal of 204842724 is 427248402.

204842724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158272 + ... + 159560.

It is an arithmetic number, because the mean of its divisors is an integer number (5688900).

Almost surely, 2204842724 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 204842724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273067200).

204842724 is an abundant number, since it is smaller than the sum of its proper divisors (341291676).

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

204842724 is a wasteful number, since it uses less digits than its factorization.

204842724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 204842724 is about 14312.3276932860. The cubic root of 204842724 is about 589.4860256205.

The spelling of 204842724 in words is "two hundred four million, eight hundred forty-two thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 41 51 57 68 76 82 102 114 123 164 204 228 246 323 492 646 697 779 969 1289 1292 1394 1558 1938 2091 2337 2578 2788 3116 3867 3876 4182 4674 5156 7734 8364 9348 13243 15468 21913 24491 26486 39729 43826 48982 52849 52972 65739 73473 79458 87652 97964 105698 131478 146946 158547 158916 211396 262956 293892 317094 416347 634188 832694 898433 1004131 1249041 1665388 1796866 2008262 2498082 2695299 3012393 3593732 4016524 4996164 5390598 6024786 10781196 12049572 17070227 34140454 51210681 68280908 102421362 204842724