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279993289 = 2925772
BaseRepresentation
bin10000101100000…
…101101111001001
3201111212010120211
4100230011233021
51033134241124
643441121121
76636621652
oct2054055711
9644763524
10279993289
1113405a114
12799291a1
1346014604
1429286529
15198aae94
hex10b05bc9

279993289 has 9 divisors (see below), whose sum is σ = 290484597. Its totient is φ = 269869824.

The previous prime is 279993239. The next prime is 279993323. The reversal of 279993289 is 982399972.

The square root of 279993289 is 16733.

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

It can be written as a sum of positive squares in 4 ways, for example, as 123543225 + 156450064 = 11115^2 + 12508^2 .

It is not a de Polignac number, because 279993289 - 215 = 279960521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (279993239) 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 8 ways as a sum of consecutive naturals, for example, 484969 + ... + 485545.

Almost surely, 2279993289 is an apocalyptic number.

279993289 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

279993289 is the 16733-rd square number.

279993289 is the 8367-th centered octagonal number.

It is an amenable number.

279993289 is a deficient number, since it is larger than the sum of its proper divisors (10491308).

279993289 is an frugal number, since it uses more digits than its factorization.

279993289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 606 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 58.

The cubic root of 279993289 is about 654.2080352993.

The spelling of 279993289 in words is "two hundred seventy-nine million, nine hundred ninety-three thousand, two hundred eighty-nine".

Divisors: 1 29 577 841 16733 332929 485257 9654941 279993289