Search a number
-
+
27217089 = 32372472
BaseRepresentation
bin110011111010…
…0110011000001
31220012202211100
41213310303001
523431421324
62411205013
7450225054
oct147646301
956182740
1027217089
11143aa669
129146769
13583c3b3
143886a9b
1525c94c9
hex19f4cc1

27217089 has 27 divisors (see below), whose sum is σ = 41282787. Its totient is φ = 17278704.

The previous prime is 27217061. The next prime is 27217093. The reversal of 27217089 is 98071272.

The square root of 27217089 is 5217.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24354225 + 2862864 = 4935^2 + 1692^2 .

It is not a de Polignac number, because 27217089 - 29 = 27216577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27217019) 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 26 ways as a sum of consecutive naturals, for example, 579064 + ... + 579110.

Almost surely, 227217089 is an apocalyptic number.

27217089 is the 5217-th square number.

27217089 is the 2609-th centered octagonal number.

It is an amenable number.

27217089 is a deficient number, since it is larger than the sum of its proper divisors (14065698).

27217089 is an equidigital number, since it uses as much as digits as its factorization.

27217089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The cubic root of 27217089 is about 300.8018880090.

Multiplying 27217089 by its sum of digits (36), we get a square (979815204 = 313022).

The spelling of 27217089 in words is "twenty-seven million, two hundred seventeen thousand, eighty-nine".

Divisors: 1 3 9 37 47 111 141 333 423 1369 1739 2209 4107 5217 6627 12321 15651 19881 64343 81733 193029 245199 579087 735597 3024121 9072363 27217089