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205048368 = 2433767807
BaseRepresentation
bin11000011100011…
…00101000110000
3112021211112111000
430032030220300
5404443021433
632202522000
75036611440
oct1416145060
9467745430
10205048368
11a5820968
1258806300
13336340c5
141d338120
1513005113
hexc38ca30

205048368 has 80 divisors (see below), whose sum is σ = 672655360. Its totient is φ = 58584384.

The previous prime is 205048351. The next prime is 205048369. The reversal of 205048368 is 863840502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (205048369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30880 + ... + 36927.

It is an arithmetic number, because the mean of its divisors is an integer number (8408192).

Almost surely, 2205048368 is an apocalyptic number.

205048368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205048368 is an abundant number, since it is smaller than the sum of its proper divisors (467606992).

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

205048368 is a wasteful number, since it uses less digits than its factorization.

205048368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67831 (or 67819 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 205048368 is about 14319.5100474842. The cubic root of 205048368 is about 589.6832236111.

The spelling of 205048368 in words is "two hundred five million, forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 67807 135614 203421 271228 406842 474649 542456 610263 813684 949298 1084912 1220526 1423947 1627368 1830789 1898596 2441052 2847894 3254736 3661578 3797192 4271841 4882104 5695788 7323156 7594384 8543682 9764208 11391576 12815523 14646312 17087364 22783152 25631046 29292624 34174728 51262092 68349456 102524184 205048368