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204048684 = 223271018017
BaseRepresentation
bin11000010100110…
…00100100101100
3112012221202011200
430022120210230
5404214024214
632125245500
75025246060
oct1412304454
9465852150
10204048684
11a51a8884
1258403890
1333374088
141d157aa0
1512da8d09
hexc29892c

204048684 has 72 divisors (see below), whose sum is σ = 595384608. Its totient is φ = 57715200.

The previous prime is 204048683. The next prime is 204048799. The reversal of 204048684 is 486840402.

204048684 is nontrivially palindromic in base 16.

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

It is not an unprimeable number, because it can be changed into a prime (204048683) 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 23 ways as a sum of consecutive naturals, for example, 21444 + ... + 29460.

Almost surely, 2204048684 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 204048684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297692304).

204048684 is an abundant number, since it is smaller than the sum of its proper divisors (391335924).

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

204048684 is a wasteful number, since it uses less digits than its factorization.

204048684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 204048684 is about 14284.5610363077. The cubic root of 204048684 is about 588.7233566046.

The spelling of 204048684 in words is "two hundred four million, forty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 909 1212 1414 1818 2121 2828 3636 4242 6363 8017 8484 12726 16034 24051 25452 32068 48102 56119 72153 96204 112238 144306 168357 224476 288612 336714 505071 673428 809717 1010142 1619434 2020284 2429151 3238868 4858302 5668019 7287453 9716604 11336038 14574906 17004057 22672076 29149812 34008114 51012171 68016228 102024342 204048684