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204820992 = 293244449
BaseRepresentation
bin11000011010101…
…01001000000000
3112021101222120200
430031111020000
5404413232432
632154005200
75034643515
oct1415251000
9467358520
10204820992
11a5686052
1258716800
133358476c
141d2b930c
1512eaca7c
hexc355200

204820992 has 60 divisors (see below), whose sum is σ = 591140550. Its totient is φ = 68272128.

The previous prime is 204820961. The next prime is 204821017. The reversal of 204820992 is 299028402.

It can be written as a sum of positive squares in only one way, i.e., 140564736 + 64256256 = 11856^2 + 8016^2 .

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

204820992 is a modest number, since divided by 20992 gives 2048 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17617 + ... + 26832.

Almost surely, 2204820992 is an apocalyptic number.

It is an amenable number.

204820992 is an abundant number, since it is smaller than the sum of its proper divisors (386319558).

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

204820992 is an equidigital number, since it uses as much as digits as its factorization.

204820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44473 (or 44454 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 204820992 is about 14311.5684675021. The cubic root of 204820992 is about 589.4651784666.

The spelling of 204820992 in words is "two hundred four million, eight hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 44449 88898 133347 177796 266694 355592 400041 533388 711184 800082 1066776 1422368 1600164 2133552 2844736 3200328 4267104 5689472 6400656 8534208 11378944 12801312 17068416 22757888 25602624 34136832 51205248 68273664 102410496 204820992