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809574249 = 31119612347
BaseRepresentation
bin110000010000010…
…001111101101001
32002102100122002110
4300100101331221
53124222333444
6212155552533
726030160531
oct6020217551
92072318073
10809574249
11385a90130
121a715b749
13cb955a23
147973c4c1
154b118cb9
hex30411f69

809574249 has 48 divisors (see below), whose sum is σ = 1263824640. Its totient is φ = 455889600.

The previous prime is 809574239. The next prime is 809574317. The reversal of 809574249 is 942475908.

It is not a de Polignac number, because 809574249 - 213 = 809566057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 809574198 and 809574207.

It is not an unprimeable number, because it can be changed into a prime (809574209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2332894 + ... + 2333240.

It is an arithmetic number, because the mean of its divisors is an integer number (26329680).

Almost surely, 2809574249 is an apocalyptic number.

It is an amenable number.

809574249 is a deficient number, since it is larger than the sum of its proper divisors (454250391).

809574249 is a wasteful number, since it uses less digits than its factorization.

809574249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 809574249 is about 28453.0182757471. The cubic root of 809574249 is about 932.0064012681.

The spelling of 809574249 in words is "eight hundred nine million, five hundred seventy-four thousand, two hundred forty-nine".

Divisors: 1 3 11 19 33 57 61 183 209 347 627 671 1041 1159 2013 3477 3721 3817 6593 11163 11451 12749 19779 21167 38247 40931 63501 70699 72523 122793 212097 217569 232837 402173 698511 777689 1206519 1291187 2333067 3873561 4423903 13271709 14203057 24532553 42609171 73597659 269858083 809574249