Search a number
-
+
8090760528 = 2432732293361
BaseRepresentation
bin1111000100011111…
…10011010101010000
3202212212012012221100
413202033303111100
5113032213314103
63414501024400
7404332221054
oct74217632520
922785165840
108090760528
113482029154
1216996b5100
139bc2a0286
1456a771c64
153254775a3
hex1e23f3550

8090760528 has 120 divisors (see below), whose sum is σ = 23060159720. Its totient is φ = 2647572480.

The previous prime is 8090760521. The next prime is 8090760541. The reversal of 8090760528 is 8250670908.

It can be written as a sum of positive squares in 4 ways, for example, as 4307034384 + 3783726144 = 65628^2 + 61512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8090760521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2405568 + ... + 2408928.

Almost surely, 28090760528 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 8090760528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11530079860).

8090760528 is an abundant number, since it is smaller than the sum of its proper divisors (14969399192).

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

8090760528 is a wasteful number, since it uses less digits than its factorization.

8090760528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8090760528 is about 89948.6549538124. The cubic root of 8090760528 is about 2007.5349539180.

The spelling of 8090760528 in words is "eight billion, ninety million, seven hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 229 292 438 458 584 657 687 876 916 1168 1314 1374 1752 1832 2061 2628 2748 3361 3504 3664 4122 5256 5496 6722 8244 10083 10512 10992 13444 16488 16717 20166 26888 30249 32976 33434 40332 50151 53776 60498 66868 80664 100302 120996 133736 150453 161328 200604 241992 245353 267472 300906 401208 483984 490706 601812 736059 769669 802416 981412 1203624 1472118 1539338 1962824 2208177 2309007 2407248 2944236 3078676 3925648 4416354 4618014 5888472 6157352 6927021 8832708 9236028 11776944 12314704 13854042 17665416 18472056 27708084 35330832 36944112 55416168 56185837 110832336 112371674 168557511 224743348 337115022 449486696 505672533 674230044 898973392 1011345066 1348460088 2022690132 2696920176 4045380264 8090760528