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204689856 = 2637221757
BaseRepresentation
bin11000011001101…
…01000111000000
3112021011022200210
430030311013000
5404400033411
632151114120
75033556300
oct1414650700
9467138623
10204689856
11a55a6578
1258672940
1333539b77
141d283600
1512e83ca6
hexc3351c0

204689856 has 84 divisors (see below), whose sum is σ = 630024648. Its totient is φ = 58480128.

The previous prime is 204689833. The next prime is 204689861. The reversal of 204689856 is 658986402.

It is a happy number.

204689856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 11 ways as a sum of consecutive naturals, for example, 1471 + ... + 20286.

Almost surely, 2204689856 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 204689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315012324).

204689856 is an abundant number, since it is smaller than the sum of its proper divisors (425334792).

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

204689856 is a wasteful number, since it uses less digits than its factorization.

204689856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21786 (or 21769 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 204689856 is about 14306.9862654579. The cubic root of 204689856 is about 589.3393505297.

The spelling of 204689856 in words is "two hundred four million, six hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 21757 43514 65271 87028 130542 152299 174056 261084 304598 348112 456897 522168 609196 696224 913794 1044336 1066093 1218392 1392448 1827588 2088672 2132186 2436784 3198279 3655176 4177344 4264372 4873568 6396558 7310352 8528744 9747136 12793116 14620704 17057488 25586232 29241408 34114976 51172464 68229952 102344928 204689856