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27868338 = 23217611493
BaseRepresentation
bin110101001001…
…1110010110010
31221102212011200
41222103302302
524113241323
62433152030
7455606541
oct152236262
957385150
1027868338
1114804993
1293bb616
135a09954
1439b6158
1526a7443
hex1a93cb2

27868338 has 48 divisors (see below), whose sum is σ = 65024856. Its totient is φ = 8593920.

The previous prime is 27868319. The next prime is 27868339. The reversal of 27868338 is 83386872.

It can be written as a sum of positive squares in 4 ways, for example, as 24830289 + 3038049 = 4983^2 + 1743^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27868293 and 27868302.

It is not an unprimeable number, because it can be changed into a prime (27868339) 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 23 ways as a sum of consecutive naturals, for example, 17920 + ... + 19412.

Almost surely, 227868338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27868338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32512428).

27868338 is an abundant number, since it is smaller than the sum of its proper divisors (37156518).

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

27868338 is a wasteful number, since it uses less digits than its factorization.

27868338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1576 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 27868338 is about 5279.0470730995. The cubic root of 27868338 is about 303.1821928148.

The spelling of 27868338 in words is "twenty-seven million, eight hundred sixty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 1493 2074 2986 3111 4479 6222 8958 9333 13437 18666 25381 26874 50762 76143 91073 152286 182146 228429 273219 456858 546438 819657 1548241 1639314 3096482 4644723 9289446 13934169 27868338