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809294580 = 223256017481
BaseRepresentation
bin110000001111001…
…101101011110100
32002101211102110100
4300033031223310
53124134411310
6212145554100
726024614263
oct6017155364
92071742410
10809294580
11385909aa6
121a7045930
13cb888643
14796a85da
154b0b0ec0
hex303cdaf4

809294580 has 72 divisors (see below), whose sum is σ = 2459273544. Its totient is φ = 215424000.

The previous prime is 809294579. The next prime is 809294609. The reversal of 809294580 is 85492908.

It can be written as a sum of positive squares in 4 ways, for example, as 348419556 + 460875024 = 18666^2 + 21468^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104440 + ... + 111920.

It is an arithmetic number, because the mean of its divisors is an integer number (34156577).

Almost surely, 2809294580 is an apocalyptic number.

It is an amenable number.

809294580 is an abundant number, since it is smaller than the sum of its proper divisors (1649978964).

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

809294580 is a wasteful number, since it uses less digits than its factorization.

809294580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8097 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 809294580 is about 28448.1032759655. The cubic root of 809294580 is about 931.8990677659.

The spelling of 809294580 in words is "eight hundred nine million, two hundred ninety-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 601 1202 1803 2404 3005 3606 5409 6010 7212 7481 9015 10818 12020 14962 18030 21636 22443 27045 29924 36060 37405 44886 54090 67329 74810 89772 108180 112215 134658 149620 224430 269316 336645 448860 673290 1346580 4496081 8992162 13488243 17984324 22480405 26976486 40464729 44960810 53952972 67441215 80929458 89921620 134882430 161858916 202323645 269764860 404647290 809294580