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27085338 = 2327341107
BaseRepresentation
bin110011101010…
…0101000011010
31212222002002200
41213110220122
523413212323
62404311030
7446136000
oct147245032
955862080
1027085338
111431a685
1290a2476
1357c4437
143850a70
1525a0443
hex19d4a1a

27085338 has 96 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 7479360.

The previous prime is 27085327. The next prime is 27085339. The reversal of 27085338 is 83358072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27085339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253081 + ... + 253187.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 227085338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27085338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

27085338 is an abundant number, since it is smaller than the sum of its proper divisors (43676262).

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

27085338 is a wasteful number, since it uses less digits than its factorization.

27085338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 27085338 is about 5204.3575972448. The cubic root of 27085338 is about 300.3157342564.

The spelling of 27085338 in words is "twenty-seven million, eighty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 107 123 126 147 214 246 287 294 321 343 369 441 574 642 686 738 749 861 882 963 1029 1498 1722 1926 2009 2058 2247 2583 3087 4018 4387 4494 5166 5243 6027 6174 6741 8774 10486 12054 13161 13482 14063 15729 18081 26322 28126 30709 31458 36162 36701 39483 42189 47187 61418 73402 78966 84378 92127 94374 110103 126567 184254 214963 220206 253134 276381 330309 429926 552762 644889 660618 1289778 1504741 1934667 3009482 3869334 4514223 9028446 13542669 27085338