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289061568 = 26334092
BaseRepresentation
bin10001001110101…
…011101011000000
3202010220211221000
4101032223223000
51042444432233
644403332000
710106661045
oct2116535300
9663824830
10289061568
11139193264
1280981000
1347b6b063
142a5671cc
151a59cd13
hex113abac0

289061568 has 84 divisors (see below), whose sum is σ = 851870280. Its totient is φ = 96118272.

The previous prime is 289061543. The next prime is 289061579. The reversal of 289061568 is 865160982.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

289061568 is a `hidden beast` number, since 2 + 89 + 0 + 6 + 1 + 568 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 706548 + ... + 706956.

Almost surely, 2289061568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425935140).

289061568 is an abundant number, since it is smaller than the sum of its proper divisors (562808712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289061568 is an frugal number, since it uses more digits than its factorization.

289061568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 289061568 is about 17001.8107270961. The cubic root of 289061568 is about 661.1958484725.

The spelling of 289061568 in words is "two hundred eighty-nine million, sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 409 432 576 818 864 1227 1636 1728 2454 3272 3681 4908 6544 7362 9816 11043 13088 14724 19632 22086 26176 29448 39264 44172 58896 78528 88344 117792 167281 176688 235584 334562 353376 501843 669124 706752 1003686 1338248 1505529 2007372 2676496 3011058 4014744 4516587 5352992 6022116 8029488 9033174 10705984 12044232 16058976 18066348 24088464 32117952 36132696 48176928 72265392 96353856 144530784 289061568