Search a number
-
+
8089328916 = 22321572575569
BaseRepresentation
bin1111000100010100…
…10101110100010100
3202212202111111010200
413202022111310110
5113031332011131
63414410220500
7404314106214
oct74212256424
922782444120
108089328916
1134812405a9
121699124730
139bbbbb776
1456a4bc244
153252932e6
hex1e2295d14

8089328916 has 72 divisors (see below), whose sum is σ = 20662048680. Its totient is φ = 2668363776.

The previous prime is 8089328911. The next prime is 8089328917. The reversal of 8089328916 is 6198239808.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1488416400 + 6600912516 = 38580^2 + 81246^2 .

It is a super-2 number, since 2×80893289162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8089328911) 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, 1449780 + ... + 1455348.

Almost surely, 28089328916 is an apocalyptic number.

It is an amenable number.

8089328916 is an abundant number, since it is smaller than the sum of its proper divisors (12572719764).

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

8089328916 is a wasteful number, since it uses less digits than its factorization.

8089328916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 8089328916 is about 89940.6966617448. The cubic root of 8089328916 is about 2007.4165398064.

The spelling of 8089328916 in words is "eight billion, eighty-nine million, three hundred twenty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 157 257 314 471 514 628 771 942 1028 1413 1542 1884 2313 2826 3084 4626 5569 5652 9252 11138 16707 22276 33414 40349 50121 66828 80698 100242 121047 161396 200484 242094 363141 484188 726282 874333 1431233 1452564 1748666 2622999 2862466 3497332 4293699 5245998 5724932 7868997 8587398 10491996 12881097 15737994 17174796 25762194 31475988 51524388 224703581 449407162 674110743 898814324 1348221486 2022332229 2696442972 4044664458 8089328916