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287181307449 = 3273224472
BaseRepresentation
bin1000010110111010101…
…01101111111000111001
31000110021011021222100100
410023131111233320321
514201121403314244
6335532420030013
726514422560011
oct4133525577071
91013234258310
10287181307449
1110087a3a7913
12477a8532309
132110919ac2a
14dc848d0c41
15770c122b69
hex42dd56fe39

287181307449 has 27 divisors (see below), whose sum is σ = 420749661423. Its totient is φ = 188754376032.

The previous prime is 287181307403. The next prime is 287181307463. The reversal of 287181307449 is 944703181782.

The square root of 287181307449 is 535893.

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

287181307449 is a `hidden beast` number, since 28 + 71 + 81 + 30 + 7 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163018100025 + 124163207424 = 403755^2 + 352368^2 .

It is not a de Polignac number, because 287181307449 - 27 = 287181307321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 287181307395 and 287181307404.

It is not an unprimeable number, because it can be changed into a prime (287181307549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117359344 + ... + 117361790.

Almost surely, 2287181307449 is an apocalyptic number.

287181307449 is the 535893-rd square number.

287181307449 is the 267947-th centered octagonal number.

It is an amenable number.

287181307449 is a deficient number, since it is larger than the sum of its proper divisors (133568353974).

287181307449 is an frugal number, since it uses more digits than its factorization.

287181307449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 287181307449 in words is "two hundred eighty-seven billion, one hundred eighty-one million, three hundred seven thousand, four hundred forty-nine".

Divisors: 1 3 9 73 219 657 2447 5329 7341 15987 22023 47961 178631 535893 1607679 5987809 13040063 17963427 39120189 53890281 117360567 437110057 1311330171 3933990513 31909034161 95727102483 287181307449