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27881281 = 1131371801
BaseRepresentation
bin110101001011…
…0111101000001
31221110111221001
41222112331001
524114200111
62433332001
7455662351
oct152267501
957414831
1027881281
111481368a
129407001
135a127cc
1439bab61
1526ab1c1
hex1a96f41

27881281 has 8 divisors (see below), whose sum is σ = 28349064. Its totient is φ = 27417600.

The previous prime is 27881279. The next prime is 27881291. The reversal of 27881281 is 18218872.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 27615025 = 516^2 + 5255^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27881281 - 21 = 27881279 is a prime.

It is a super-3 number, since 3×278812813 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27881281.

It is not an unprimeable number, because it can be changed into a prime (27881201) 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 7 ways as a sum of consecutive naturals, for example, 14581 + ... + 16381.

It is an arithmetic number, because the mean of its divisors is an integer number (3543633).

Almost surely, 227881281 is an apocalyptic number.

It is an amenable number.

27881281 is a deficient number, since it is larger than the sum of its proper divisors (467783).

27881281 is a wasteful number, since it uses less digits than its factorization.

27881281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051.

The product of its digits is 14336, while the sum is 37.

The square root of 27881281 is about 5280.2728149216. The cubic root of 27881281 is about 303.2291215766.

The spelling of 27881281 in words is "twenty-seven million, eight hundred eighty-one thousand, two hundred eighty-one".

Divisors: 1 113 137 1801 15481 203513 246737 27881281