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27729156 = 22371367379
BaseRepresentation
bin110100111000…
…1110100000100
31221011210020210
41221301310010
524044313111
62430155420
7454460010
oct151616404
957153223
1027729156
111471a364
129352b70
13598b4b0
14397b540
15267b0a6
hex1a71d04

27729156 has 96 divisors (see below), whose sum is σ = 81034240. Its totient is φ = 7185024.

The previous prime is 27729137. The next prime is 27729167. The reversal of 27729156 is 65192772.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 72975 + ... + 73353.

Almost surely, 227729156 is an apocalyptic number.

27729156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27729156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40517120).

27729156 is an abundant number, since it is smaller than the sum of its proper divisors (53305084).

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

27729156 is a wasteful number, since it uses less digits than its factorization.

27729156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 27729156 is about 5265.8480798443. The cubic root of 27729156 is about 302.6766256715.

The spelling of 27729156 in words is "twenty-seven million, seven hundred twenty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 67 78 84 91 134 156 182 201 268 273 364 379 402 469 546 758 804 871 938 1092 1137 1407 1516 1742 1876 2274 2613 2653 2814 3484 4548 4927 5226 5306 5628 6097 7959 9854 10452 10612 12194 14781 15918 18291 19708 24388 25393 29562 31836 34489 36582 50786 59124 68978 73164 76179 101572 103467 137956 152358 177751 206934 304716 330109 355502 413868 533253 660218 711004 990327 1066506 1320436 1980654 2133012 2310763 3961308 4621526 6932289 9243052 13864578 27729156