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27983067 = 3721943233
BaseRepresentation
bin110101010111…
…1110011011011
31221122200112220
41222233303123
524130424232
62435435123
7456565200
oct152576333
957580486
1027983067
1114883102
129455aa3
135a49c38
143a05ca7
1526cb42c
hex1aafcdb

27983067 has 48 divisors (see below), whose sum is σ = 46949760. Its totient is φ = 14732928.

The previous prime is 27983047. The next prime is 27983069. The reversal of 27983067 is 76038972.

It is not a de Polignac number, because 27983067 - 28 = 27982811 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27983069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119983 + ... + 120215.

It is an arithmetic number, because the mean of its divisors is an integer number (978120).

Almost surely, 227983067 is an apocalyptic number.

27983067 is a deficient number, since it is larger than the sum of its proper divisors (18966693).

27983067 is a wasteful number, since it uses less digits than its factorization.

27983067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 27983067 is about 5289.9023620479. The cubic root of 27983067 is about 303.5976722713.

The spelling of 27983067 in words is "twenty-seven million, nine hundred eighty-three thousand, sixty-seven".

Divisors: 1 3 7 19 21 43 49 57 129 133 147 233 301 399 699 817 903 931 1631 2107 2451 2793 4427 4893 5719 6321 10019 11417 13281 17157 30057 30989 34251 40033 70133 92967 120099 190361 210399 216923 490931 571083 650769 1332527 1472793 3997581 9327689 27983067