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204126592 = 2729127433
BaseRepresentation
bin11000010101010…
…11100110000000
3112020002201001011
430022223212000
5404224022332
632131050304
75026022155
oct1412534600
9466081034
10204126592
11a525136a
1258440994
13333a0687
141d17822c
1512dc1e47
hexc2ab980

204126592 has 64 divisors (see below), whose sum is σ = 424972800. Its totient is φ = 97542144.

The previous prime is 204126581. The next prime is 204126617. The reversal of 204126592 is 295621402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 471208 + ... + 471640.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2204126592 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 204126592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

204126592 is an abundant number, since it is smaller than the sum of its proper divisors (220846208).

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

204126592 is a wasteful number, since it uses less digits than its factorization.

204126592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 204126592 is about 14287.2877762016. The cubic root of 204126592 is about 588.7982740576.

Adding to 204126592 its reverse (295621402), we get a palindrome (499747994).

The spelling of 204126592 in words is "two hundred four million, one hundred twenty-six thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 127 128 232 254 433 464 508 866 928 1016 1732 1856 2032 3464 3683 3712 4064 6928 7366 8128 12557 13856 14732 16256 25114 27712 29464 50228 54991 55424 58928 100456 109982 117856 200912 219964 235712 401824 439928 471424 803648 879856 1594739 1607296 1759712 3189478 3519424 6378956 7038848 12757912 25515824 51031648 102063296 204126592