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27729108 = 223311171373
BaseRepresentation
bin110100111000…
…1110011010100
31221011210012000
41221301303110
524044312413
62430155300
7454456611
oct151616324
957153160
1027729108
111471a320
129352b30
13598b474
14397b508
15267b073
hex1a71cd4

27729108 has 96 divisors (see below), whose sum is σ = 83099520. Its totient is φ = 7902720.

The previous prime is 27729103. The next prime is 27729127. The reversal of 27729108 is 80192772.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27729101) 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 31 ways as a sum of consecutive naturals, for example, 19510 + ... + 20882.

It is an arithmetic number, because the mean of its divisors is an integer number (865620).

Almost surely, 227729108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27729108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41549760).

27729108 is an abundant number, since it is smaller than the sum of its proper divisors (55370412).

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

27729108 is a wasteful number, since it uses less digits than its factorization.

27729108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 27729108 is about 5265.8435221719. The cubic root of 27729108 is about 302.6764510239.

The spelling of 27729108 in words is "twenty-seven million, seven hundred twenty-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1373 1683 1836 2244 2746 3366 4119 5049 5492 6732 8238 10098 12357 15103 16476 20196 23341 24714 30206 37071 45309 46682 49428 60412 70023 74142 90618 93364 135927 140046 148284 181236 210069 256751 271854 280092 407781 420138 513502 543708 630207 770253 815562 840276 1027004 1260414 1540506 1631124 2310759 2520828 3081012 4621518 6932277 9243036 13864554 27729108