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204452064 = 25321741759
BaseRepresentation
bin11000010111110…
…11000011100000
3112020201020111200
430023323003200
5404314431224
632142041200
75031546105
oct1413730340
9466636450
10204452064
11a5453953
1258579200
133348586b
141d220aac
1512e385c9
hexc2fb0e0

204452064 has 72 divisors (see below), whose sum is σ = 615625920. Its totient is φ = 64140288.

The previous prime is 204452033. The next prime is 204452071. The reversal of 204452064 is 460254402.

204452064 is a `hidden beast` number, since 204 + 452 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15984 + ... + 25775.

It is an arithmetic number, because the mean of its divisors is an integer number (8550360).

Almost surely, 2204452064 is an apocalyptic number.

204452064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204452064 is an abundant number, since it is smaller than the sum of its proper divisors (411173856).

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

204452064 is a wasteful number, since it uses less digits than its factorization.

204452064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41792 (or 41781 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 204452064 is about 14298.6735049095. The cubic root of 204452064 is about 589.1110466159. Note that the first 3 decimals are identical.

The spelling of 204452064 in words is "two hundred four million, four hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 41759 83518 125277 167036 250554 334072 375831 501108 668144 709903 751662 1002216 1336288 1419806 1503324 2004432 2129709 2839612 3006648 4008864 4259418 5679224 6013296 6389127 8518836 11358448 12026592 12778254 17037672 22716896 25556508 34075344 51113016 68150688 102226032 204452064