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27468666 = 2333161269
BaseRepresentation
bin110100011001…
…0001101111010
31220200112221000
41220302031322
524012444131
62420425430
7452323401
oct150621572
956615830
1027468666
1114561685
129248276
1358c9a64
143910638
152628ce6
hex1a3237a

27468666 has 64 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 8683200.

The previous prime is 27468653. The next prime is 27468671. The reversal of 27468666 is 66686472.

It is a super-2 number, since 2×274686662 = 1509055223639112, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 101980 + ... + 102248.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 227468666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27468666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

27468666 is an abundant number, since it is smaller than the sum of its proper divisors (36812934).

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

27468666 is a wasteful number, since it uses less digits than its factorization.

27468666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 27468666 is about 5241.0558096628. The cubic root of 27468666 is about 301.7258524058.

The spelling of 27468666 in words is "twenty-seven million, four hundred sixty-eight thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 61 62 93 122 183 186 269 279 366 538 549 558 807 837 1098 1614 1647 1674 1891 2421 3294 3782 4842 5673 7263 8339 11346 14526 16409 16678 17019 25017 32818 34038 49227 50034 51057 75051 98454 102114 147681 150102 225153 295362 443043 450306 508679 886086 1017358 1526037 3052074 4578111 9156222 13734333 27468666