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204676672 = 265383727
BaseRepresentation
bin11000011001100…
…01111001000000
3112021010122121111
430030301321000
5404344123142
632150533104
75033502664
oct1414617100
9467118544
10204676672
11a5597682
1258667194
1333533b75
141d27c8a4
1512e7ee17
hexc331e40

204676672 has 56 divisors (see below), whose sum is σ = 419380416. Its totient is φ = 99061248.

The previous prime is 204676669. The next prime is 204676673. The reversal of 204676672 is 276676402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (204676673) 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 7 ways as a sum of consecutive naturals, for example, 281173 + ... + 281899.

It is an arithmetic number, because the mean of its divisors is an integer number (7488936).

Almost surely, 2204676672 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 204676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

204676672 is an abundant number, since it is smaller than the sum of its proper divisors (214703744).

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

204676672 is an equidigital number, since it uses as much as digits as its factorization.

204676672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 204676672 is about 14306.5255041187. The cubic root of 204676672 is about 589.3266972128.

The spelling of 204676672 in words is "two hundred four million, six hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 53 64 83 106 166 212 332 424 664 727 848 1328 1454 1696 2656 2908 3392 4399 5312 5816 8798 11632 17596 23264 35192 38531 46528 60341 70384 77062 120682 140768 154124 241364 281536 308248 482728 616496 965456 1232992 1930912 2465984 3198073 3861824 6396146 12792292 25584584 51169168 102338336 204676672