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204291936 = 2533236449
BaseRepresentation
bin11000010110100…
…11111101100000
3112020102002212000
430023103331200
5404244320221
632134404000
75030311212
oct1413237540
9466362760
10204291936
11a5354612
1258500600
133342aa04
141d1bc5b2
1512e05e26
hexc2d3f60

204291936 has 48 divisors (see below), whose sum is σ = 595854000. Its totient is φ = 68097024.

The previous prime is 204291931. The next prime is 204291937. The reversal of 204291936 is 639192402.

204291936 is digitally balanced in base 2, 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 (48).

It is a super-2 number, since 2×2042919362 = 83470390229256192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 204291936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204291931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117361 + ... + 119088.

It is an arithmetic number, because the mean of its divisors is an integer number (12413625).

Almost surely, 2204291936 is an apocalyptic number.

It is an amenable number.

204291936 is an abundant number, since it is smaller than the sum of its proper divisors (391562064).

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

204291936 is a wasteful number, since it uses less digits than its factorization.

204291936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236468 (or 236454 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 204291936 is about 14293.0730075796. The cubic root of 204291936 is about 588.9572080910.

The spelling of 204291936 in words is "two hundred four million, two hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 236449 472898 709347 945796 1418694 1891592 2128041 2837388 3783184 4256082 5674776 6384123 7566368 8512164 11349552 12768246 17024328 22699104 25536492 34048656 51072984 68097312 102145968 204291936