Search a number
-
+
2826683208 = 2332973371201
BaseRepresentation
bin1010100001111011…
…1100001101001000
321021222220101101200
42220132330031020
521242112330313
61144253344200
7130022260626
oct25036741510
97258811350
102826683208
111220652a28
1266a798060
1336081061b
141cb5ac516
1511825ab73
hexa87bc348

2826683208 has 96 divisors (see below), whose sum is σ = 7763934360. Its totient is φ = 928972800.

The previous prime is 2826683203. The next prime is 2826683227. The reversal of 2826683208 is 8023866282.

It can be written as a sum of positive squares in 4 ways, for example, as 1064194884 + 1762488324 = 32622^2 + 41982^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2826683201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2353008 + ... + 2354208.

Almost surely, 22826683208 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 2826683208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881967180).

2826683208 is an abundant number, since it is smaller than the sum of its proper divisors (4937251152).

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

2826683208 is a wasteful number, since it uses less digits than its factorization.

2826683208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2826683208 is about 53166.5609946703. The cubic root of 2826683208 is about 1413.9228498259.

The spelling of 2826683208 in words is "two billion, eight hundred twenty-six million, six hundred eighty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 337 388 582 674 776 873 1011 1164 1201 1348 1746 2022 2328 2402 2696 3033 3492 3603 4044 4804 6066 6984 7206 8088 9608 10809 12132 14412 21618 24264 28824 32689 43236 65378 86472 98067 116497 130756 196134 232994 261512 294201 349491 392268 404737 465988 588402 698982 784536 809474 931976 1048473 1176804 1214211 1397964 1618948 2096946 2353608 2428422 2795928 3237896 3642633 4193892 4856844 7285266 8387784 9713688 14570532 29141064 39259489 78518978 117778467 157037956 235556934 314075912 353335401 471113868 706670802 942227736 1413341604 2826683208