Search a number
-
+
289212 = 223711313
BaseRepresentation
bin1000110100110111100
3112200201120
41012212330
533223322
610110540
72313120
oct1064674
9480646
10289212
11188320
1211b450
13a1841
1477580
155aa5c
hex469bc

289212 has 48 divisors (see below), whose sum is σ = 844032. Its totient is φ = 74880.

The previous prime is 289193. The next prime is 289213. The reversal of 289212 is 212982.

289212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289212.

It is not an unprimeable number, because it can be changed into a prime (289213) by changing a digit.

289212 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 768 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (17584).

2289212 is an apocalyptic number.

289212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422016).

289212 is an abundant number, since it is smaller than the sum of its proper divisors (554820).

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

289212 is a wasteful number, since it uses less digits than its factorization.

289212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 289212 is about 537.7843433943. The cubic root of 289212 is about 66.1310527345.

The spelling of 289212 in words is "two hundred eighty-nine thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 313 462 626 924 939 1252 1878 2191 3443 3756 4382 6573 6886 8764 10329 13146 13772 20658 24101 26292 41316 48202 72303 96404 144606 289212