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2483327889 = 34741132
BaseRepresentation
bin1001010000000100…
…1001001110010001
320102001211010110000
42110001021032101
520041212443024
61050230200213
7115352640000
oct22401111621
96361733400
102483327889
111064856aa9
125937b3069
133076429b3
14197b50c37
15e8035cc9
hex94049391

2483327889 has 75 divisors (see below), whose sum is σ = 4366319243. Its totient is φ = 1406486592.

The previous prime is 2483327863. The next prime is 2483327933. The reversal of 2483327889 is 9887233842.

The square root of 2483327889 is 49833.

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., 43758225 + 2439569664 = 6615^2 + 49392^2 .

It is not a de Polignac number, because 2483327889 - 27 = 2483327761 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2483327809) 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 74 ways as a sum of consecutive naturals, for example, 21976297 + ... + 21976409.

Almost surely, 22483327889 is an apocalyptic number.

2483327889 is the 49833-rd square number.

2483327889 is the 24917-th centered octagonal number.

It is an amenable number.

2483327889 is a deficient number, since it is larger than the sum of its proper divisors (1882991354).

2483327889 is an frugal number, since it uses more digits than its factorization.

2483327889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 123 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The cubic root of 2483327889 is about 1354.1850719068.

The spelling of 2483327889 in words is "two billion, four hundred eighty-three million, three hundred twenty-seven thousand, eight hundred eighty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 113 147 189 339 343 441 567 791 1017 1029 1323 2373 2401 3051 3087 3969 5537 7119 7203 9153 9261 12769 16611 21357 21609 27783 38307 38759 49833 64071 64827 89383 114921 116277 149499 194481 268149 271313 344763 348831 448497 625681 804447 813939 1034289 1046493 1877043 2413341 2441817 3139479 4379767 5631129 7240023 7325451 13139301 16893387 21976353 30658369 39417903 50680161 91975107 118253709 275925321 354761127 827775963 2483327889