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27218269 = 1323294373
BaseRepresentation
bin110011111010…
…1000101011101
31220012211110001
41213311011131
523431441034
62411214301
7450231361
oct147650535
956184401
1027218269
1114400541
129147391
13583cab0
1438872a1
1525c9a14
hex19f515d

27218269 has 32 divisors (see below), whose sum is σ = 32820480. Its totient is φ = 22353408.

The previous prime is 27218267. The next prime is 27218291. The reversal of 27218269 is 96281272.

It is a 5-Lehmer number, since φ(27218269) divides (27218269-1)5.

It is a cyclic number.

It is not a de Polignac number, because 27218269 - 21 = 27218267 is a prime.

It is a super-2 number, since 2×272182692 = 1481668334712722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27218267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372817 + ... + 372889.

It is an arithmetic number, because the mean of its divisors is an integer number (1025640).

It is a Poulet number, since it divides 227218268-1.

Almost surely, 227218269 is an apocalyptic number.

27218269 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

27218269 is a deficient number, since it is larger than the sum of its proper divisors (5602211).

27218269 is a wasteful number, since it uses less digits than its factorization.

27218269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its digits is 24192, while the sum is 37.

The square root of 27218269 is about 5217.1130905895. The cubic root of 27218269 is about 300.8062350462.

The spelling of 27218269 in words is "twenty-seven million, two hundred eighteen thousand, two hundred sixty-nine".

Divisors: 1 13 23 29 43 73 299 377 559 667 949 989 1247 1679 2117 3139 8671 12857 16211 21827 27521 28681 40807 48691 72197 91031 372853 632983 938561 1183403 2093713 27218269