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27849345 = 3519237139
BaseRepresentation
bin110101000111…
…1001010000001
31221101220010020
41222033022001
524112134340
62432524053
7455500266
oct152171201
957356106
1027849345
11147a1697
1293b0629
135a01104
1439ad26d
1526a19d0
hex1a8f281

27849345 has 48 divisors (see below), whose sum is σ = 48646080. Its totient is φ = 13592448.

The previous prime is 27849331. The next prime is 27849361. The reversal of 27849345 is 54394872.

27849345 = T188 + T189 + ... + T557.

It is not a de Polignac number, because 27849345 - 24 = 27849329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27849297 and 27849306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200286 + ... + 200424.

It is an arithmetic number, because the mean of its divisors is an integer number (1013460).

Almost surely, 227849345 is an apocalyptic number.

It is an amenable number.

27849345 is a deficient number, since it is larger than the sum of its proper divisors (20796735).

27849345 is a wasteful number, since it uses less digits than its factorization.

27849345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 27849345 is about 5277.2478622858. The cubic root of 27849345 is about 303.1133016352.

The spelling of 27849345 in words is "twenty-seven million, eight hundred forty-nine thousand, three hundred forty-five".

Divisors: 1 3 5 15 19 37 57 95 111 139 185 285 361 417 555 695 703 1083 1805 2085 2109 2641 3515 5143 5415 7923 10545 13205 13357 15429 25715 39615 40071 50179 66785 77145 97717 150537 200355 250895 293151 488585 752685 1465755 1856623 5569869 9283115 27849345