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204085908 = 223213436081
BaseRepresentation
bin11000010101000…
…01101010010100
3112020000122020100
430022201222110
5404221222113
632130134100
75025462435
oct1412415224
9466018210
10204085908
11a5223844
1258421330
1333387cc0
141d16748c
1512db4d73
hexc2a1a94

204085908 has 36 divisors (see below), whose sum is σ = 555568468. Its totient is φ = 62795520.

The previous prime is 204085907. The next prime is 204085913. The reversal of 204085908 is 809580402.

204085908 is a `hidden beast` number, since 20 + 40 + 8 + 590 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116251524 + 87834384 = 10782^2 + 9372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204085907) 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 11 ways as a sum of consecutive naturals, for example, 217573 + ... + 218508.

Almost surely, 2204085908 is an apocalyptic number.

It is an amenable number.

204085908 is an abundant number, since it is smaller than the sum of its proper divisors (351482560).

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

204085908 is a wasteful number, since it uses less digits than its factorization.

204085908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436104 (or 436099 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 204085908 is about 14285.8639220735. The cubic root of 204085908 is about 588.7591541168.

The spelling of 204085908 in words is "two hundred four million, eighty-five thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 436081 872162 1308243 1744324 2616486 3924729 5232972 5669053 7849458 11338106 15698916 17007159 22676212 34014318 51021477 68028636 102042954 204085908