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289046394 = 23472132801
BaseRepresentation
bin10001001110100…
…111111101111010
3202010220002010000
4101032213331322
51042443441034
644403133430
710106565600
oct2116477572
9663802100
10289046394
1113918291a
1280974276
1347b64190
142a561870
151a598599
hex113a7f7a

289046394 has 120 divisors (see below), whose sum is σ = 811666548. Its totient is φ = 76204800.

The previous prime is 289046377. The next prime is 289046399. The reversal of 289046394 is 493640982.

289046394 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 4 + 639 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 278723025 + 10323369 = 16695^2 + 3213^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (289046399) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 101794 + ... + 104594.

Almost surely, 2289046394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289046394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405833274).

289046394 is an abundant number, since it is smaller than the sum of its proper divisors (522620154).

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

289046394 is a wasteful number, since it uses less digits than its factorization.

289046394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 289046394 is about 17001.3644746532. The cubic root of 289046394 is about 661.1842786635.

It can be divided in two parts, 2890 and 46394, that added together give a square (49284 = 2222).

The spelling of 289046394 in words is "two hundred eighty-nine million, forty-six thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 273 294 351 378 441 546 567 637 702 819 882 1053 1134 1274 1323 1638 1911 2106 2457 2646 2801 3822 3969 4914 5602 5733 7371 7938 8403 11466 14742 16806 17199 19607 25209 34398 36413 39214 50418 51597 58821 72826 75627 103194 109239 117642 137249 151254 176463 218478 226881 254891 274498 327717 352926 411747 453762 509782 529389 655434 764673 823494 983151 1058778 1235241 1529346 1588167 1784237 1966302 2294019 2470482 2949453 3176334 3568474 3705723 4588038 5352711 5898906 6882057 7411446 10705422 11117169 13764114 16058133 20646171 22234338 32116266 41292342 48174399 96348798 144523197 289046394