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6283891441 = 17246632
BaseRepresentation
bin1011101101000110…
…01001001011110001
3121012221020202112001
411312203021023301
5100332134011231
62515313334001
7311502124132
oct56643111361
917187222461
106283891441
112735102713
121274567301
13791b46779
144387cbc89
1526ba13b61
hex1768c92f1

6283891441 has 9 divisors (see below), whose sum is σ = 6676707531. Its totient is φ = 5912982432.

The previous prime is 6283891421. The next prime is 6283891457. The reversal of 6283891441 is 1441983826.

The square root of 6283891441 is 79271.

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., 4892303025 + 1391588416 = 69945^2 + 37304^2 .

It is not a de Polignac number, because 6283891441 - 217 = 6283760369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6283891391 and 6283891400.

It is not an unprimeable number, because it can be changed into a prime (6283891421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1345276 + ... + 1349938.

Almost surely, 26283891441 is an apocalyptic number.

6283891441 is the 79271-st square number.

6283891441 is the 39636-th centered octagonal number.

It is an amenable number.

6283891441 is a deficient number, since it is larger than the sum of its proper divisors (392816090).

6283891441 is an frugal number, since it uses more digits than its factorization.

6283891441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9360 (or 4680 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The cubic root of 6283891441 is about 1845.3392727579.

The spelling of 6283891441 in words is "six billion, two hundred eighty-three million, eight hundred ninety-one thousand, four hundred forty-one".

Divisors: 1 17 289 4663 79271 1347607 21743569 369640673 6283891441