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27968196 = 22317472917
BaseRepresentation
bin110101010110…
…0001011000100
31221121221011010
41222230023010
524124440241
62435242220
7456503634
oct152541304
957557133
1027968196
1114872a13
129449370
135a43239
143a006c4
1526c6d16
hex1aac2c4

27968196 has 48 divisors (see below), whose sum is σ = 70592256. Its totient is φ = 8584704.

The previous prime is 27968173. The next prime is 27968197. The reversal of 27968196 is 69186972.

It is not an unprimeable number, because it can be changed into a prime (27968197) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8130 + ... + 11046.

It is an arithmetic number, because the mean of its divisors is an integer number (1470672).

Almost surely, 227968196 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 27968196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35296128).

27968196 is an abundant number, since it is smaller than the sum of its proper divisors (42624060).

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

27968196 is a wasteful number, since it uses less digits than its factorization.

27968196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2986 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 27968196 is about 5288.4965727511. The cubic root of 27968196 is about 303.5438825874.

The spelling of 27968196 in words is "twenty-seven million, nine hundred sixty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1598 2397 2917 3196 4794 5834 8751 9588 11668 17502 35004 49589 99178 137099 148767 198356 274198 297534 411297 548396 595068 822594 1645188 2330683 4661366 6992049 9322732 13984098 27968196