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27286129 = 1329157461
BaseRepresentation
bin110100000010…
…1101001110001
31220100021112101
41220011221301
523441124004
62412500401
7450633253
oct150055161
956307471
1027286129
1114447522
12917a701
135864950
1438a3cd3
1525deba4
hex1a05a71

27286129 has 16 divisors (see below), whose sum is σ = 30658320. Its totient is φ = 24111360.

The previous prime is 27286111. The next prime is 27286141. The reversal of 27286129 is 92168272.

It can be written as a sum of positive squares in 8 ways, for example, as 3783025 + 23503104 = 1945^2 + 4848^2 .

It is not a de Polignac number, because 27286129 - 215 = 27253361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27286199) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 58959 + ... + 59419.

It is an arithmetic number, because the mean of its divisors is an integer number (1916145).

Almost surely, 227286129 is an apocalyptic number.

27286129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

27286129 is a deficient number, since it is larger than the sum of its proper divisors (3372191).

27286129 is a wasteful number, since it uses less digits than its factorization.

27286129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660.

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

The square root of 27286129 is about 5223.6126387779. The cubic root of 27286129 is about 301.0560154467.

It can be divided in two parts, 272861 and 29, that multiplied together give a square (7912969 = 28132).

The spelling of 27286129 in words is "twenty-seven million, two hundred eighty-six thousand, one hundred twenty-nine".

Divisors: 1 13 29 157 377 461 2041 4553 5993 13369 59189 72377 173797 940901 2098933 27286129