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2828000016 = 243261321949
BaseRepresentation
bin1010100010001111…
…1101101100010000
321022002101021201100
42220203331230100
521242432000031
61144341504400
7130036414002
oct25043755420
97262337640
102828000016
1112213722a6
1266b112100
13360b81aba
141cb832372
1511841ade6
hexa88fdb10

2828000016 has 60 divisors (see below), whose sum is σ = 8044242700. Its totient is φ = 927210240.

The previous prime is 2827999981. The next prime is 2828000081. The reversal of 2828000016 is 6100008282.

It can be written as a sum of positive squares in 2 ways, for example, as 1081094400 + 1746905616 = 32880^2 + 41796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152191 + ... + 169758.

Almost surely, 22828000016 is an apocalyptic number.

It is an amenable number.

2828000016 is an abundant number, since it is smaller than the sum of its proper divisors (5216242684).

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

2828000016 is a wasteful number, since it uses less digits than its factorization.

2828000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322024 (or 322015 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2828000016 is about 53178.9433516688. The cubic root of 2828000016 is about 1414.1423739987.

Adding to 2828000016 its reverse (6100008282), we get a palindrome (8928008298).

The spelling of 2828000016 in words is "two billion, eight hundred twenty-eight million, sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 321949 643898 965847 1287796 1931694 2575592 2897541 3863388 5151184 5795082 7726776 11590164 15453552 19638889 23180328 39277778 46360656 58916667 78555556 117833334 157111112 176750001 235666668 314222224 353500002 471333336 707000004 942666672 1414000008 2828000016