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281132289 = 312232
BaseRepresentation
bin10000110000011…
…011110100000001
3201121000000000000
4100300123310001
51033432213124
643521350213
76652404444
oct2060336401
9647000000
10281132289
11134767939
127a198369
1346322b89
14294a165b
1519a336c9
hex10c1bd01

281132289 has 39 divisors (see below), whose sum is σ = 440830033. Its totient is φ = 179272764.

The previous prime is 281132279. The next prime is 281132297. The reversal of 281132289 is 982231182.

The square root of 281132289 is 16767.

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

It is not a de Polignac number, because 281132289 - 27 = 281132161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (281132279) 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 38 ways as a sum of consecutive naturals, for example, 12223132 + ... + 12223154.

Almost surely, 2281132289 is an apocalyptic number.

281132289 is the 16767-th square number.

281132289 is the 8384-th centered octagonal number.

It is an amenable number.

281132289 is a deficient number, since it is larger than the sum of its proper divisors (159697744).

281132289 is an frugal number, since it uses more digits than its factorization.

281132289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 26 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The cubic root of 281132289 is about 655.0939313263.

Multiplying 281132289 by its sum of digits (36), we get a square (10120762404 = 1006022).

The spelling of 281132289 in words is "two hundred eighty-one million, one hundred thirty-two thousand, two hundred eighty-nine".

Divisors: 1 3 9 23 27 69 81 207 243 529 621 729 1587 1863 2187 4761 5589 6561 14283 16767 19683 42849 50301 59049 128547 150903 177147 385641 452709 531441 1156923 1358127 3470769 4074381 10412307 12223143 31236921 93710763 281132289