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204898304 = 21513237
BaseRepresentation
bin11000011011010…
…00000000000000
3112021112220122002
430031220000000
5404423221204
632155403132
75035415102
oct1415500000
9467486562
10204898304
11a5729146
12587534a8
13335b0a00
141d2d9572
1512ec591e
hexc368000

204898304 has 96 divisors (see below), whose sum is σ = 455730390. Its totient is φ = 92012544.

The previous prime is 204898301. The next prime is 204898319. The reversal of 204898304 is 403898402.

It can be written as a sum of positive squares in 3 ways, for example, as 147865600 + 57032704 = 12160^2 + 7552^2 .

It is not an unprimeable number, because it can be changed into a prime (204898301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5537774 + ... + 5537810.

Almost surely, 2204898304 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 204898304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227865195).

204898304 is an abundant number, since it is smaller than the sum of its proper divisors (250832086).

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

204898304 is an frugal number, since it uses more digits than its factorization.

204898304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 204898304 is about 14314.2692443589. The cubic root of 204898304 is about 589.5393359031.

The spelling of 204898304 in words is "two hundred four million, eight hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 169 208 256 296 338 416 481 512 592 676 832 962 1024 1184 1352 1664 1924 2048 2368 2704 3328 3848 4096 4736 5408 6253 6656 7696 8192 9472 10816 12506 13312 15392 16384 18944 21632 25012 26624 30784 32768 37888 43264 50024 53248 61568 75776 86528 100048 106496 123136 151552 173056 200096 212992 246272 303104 346112 400192 425984 492544 606208 692224 800384 985088 1212416 1384448 1600768 1970176 2768896 3201536 3940352 5537792 6403072 7880704 12806144 15761408 25612288 51224576 102449152 204898304