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811000480 = 25516693037
BaseRepresentation
bin110000010101101…
…110001010100000
32002112001002111211
4300111232022200
53130104003410
6212250315504
726045250613
oct6025561240
92075032454
10811000480
11386874734
121a7728b94
13cc034c54
14799d017a
154b2eb68a
hex3056e2a0

811000480 has 48 divisors (see below), whose sum is σ = 1917767880. Its totient is φ = 324099072.

The previous prime is 811000417. The next prime is 811000483. The reversal of 811000480 is 84000118.

It can be written as a sum of positive squares in 4 ways, for example, as 759333136 + 51667344 = 27556^2 + 7188^2 .

It is not an unprimeable number, because it can be changed into a prime (811000483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265522 + ... + 268558.

Almost surely, 2811000480 is an apocalyptic number.

811000480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

811000480 is an abundant number, since it is smaller than the sum of its proper divisors (1106767400).

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

811000480 is a wasteful number, since it uses less digits than its factorization.

811000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 811000480 is about 28478.0701593349. The cubic root of 811000480 is about 932.5533869628.

Adding to 811000480 its reverse (84000118), we get a palindrome (895000598).

The spelling of 811000480 in words is "eight hundred eleven million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1669 3037 3338 6074 6676 8345 12148 13352 15185 16690 24296 26704 30370 33380 48592 53408 60740 66760 97184 121480 133520 242960 267040 485920 5068753 10137506 20275012 25343765 40550024 50687530 81100048 101375060 162200096 202750120 405500240 811000480