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27742329 = 3210329927
BaseRepresentation
bin110100111010…
…1000001111001
31221012110022200
41221311001321
524100223304
62430340413
7454543266
oct151650171
957173280
1027742329
111472924a
12935a709
1359944a4
14398226d
15267ee39
hex1a75079

27742329 has 12 divisors (see below), whose sum is σ = 40462656. Its totient is φ = 18314712.

The previous prime is 27742259. The next prime is 27742343. The reversal of 27742329 is 92324772.

It is not a de Polignac number, because 27742329 - 27 = 27742201 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27742293 and 27742302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27742349) 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 11 ways as a sum of consecutive naturals, for example, 14037 + ... + 15890.

It is an arithmetic number, because the mean of its divisors is an integer number (3371888).

Almost surely, 227742329 is an apocalyptic number.

It is an amenable number.

27742329 is a deficient number, since it is larger than the sum of its proper divisors (12720327).

27742329 is a wasteful number, since it uses less digits than its factorization.

27742329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30036 (or 30033 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 27742329 is about 5267.0987270033. The cubic root of 27742329 is about 302.7245478895.

It can be divided in two parts, 2774 and 2329, that multiplied together give a palindrome (6460646).

The spelling of 27742329 in words is "twenty-seven million, seven hundred forty-two thousand, three hundred twenty-nine".

Divisors: 1 3 9 103 309 927 29927 89781 269343 3082481 9247443 27742329