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289399149 = 31013229
BaseRepresentation
bin10001001111111…
…110000101101101
3202011120000000000
4101033332011231
51043041233044
644414454513
710112565204
oct2117760555
9664500000
10289399149
111393a3956
1280b04439
1347c58900
142a61423b
151a617d69
hex113fe16d

289399149 has 66 divisors (see below), whose sum is σ = 486265770. Its totient is φ = 171950688.

The previous prime is 289399147. The next prime is 289399153. The reversal of 289399149 is 941993982.

It can be written as a sum of positive squares in 3 ways, for example, as 59049 + 289340100 = 243^2 + 17010^2 .

It is not a de Polignac number, because 289399149 - 21 = 289399147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 289399095 and 289399104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289399141) 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 65 ways as a sum of consecutive naturals, for example, 9979267 + ... + 9979295.

Almost surely, 2289399149 is an apocalyptic number.

289399149 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

289399149 is a deficient number, since it is larger than the sum of its proper divisors (196866621).

289399149 is an frugal number, since it uses more digits than its factorization.

289399149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 289399149 is about 17011.7356257379. The cubic root of 289399149 is about 661.4531412038.

The spelling of 289399149 in words is "two hundred eighty-nine million, three hundred ninety-nine thousand, one hundred forty-nine".

Divisors: 1 3 9 13 27 29 39 81 87 117 169 243 261 351 377 507 729 783 1053 1131 1521 2187 2349 3159 3393 4563 4901 6561 7047 9477 10179 13689 14703 19683 21141 28431 30537 41067 44109 59049 63423 85293 91611 123201 132327 190269 255879 274833 369603 396981 570807 767637 824499 1108809 1190943 1712421 2473497 3326427 3572829 7420491 9979281 10718487 22261473 32155461 96466383 289399149