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289884906 = 2353171271
BaseRepresentation
bin10001010001110…
…100101011101010
3202012110200100000
4101101310223222
51043202304111
644433123430
710116660333
oct2121645352
9665420300
10289884906
111396a5903
12810b9576
1348098a3c
142a6dd28a
151a6b1c56
hex11474aea

289884906 has 96 divisors (see below), whose sum is σ = 684343296. Its totient is φ = 91854000.

The previous prime is 289884863. The next prime is 289884911. The reversal of 289884906 is 609488982.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1069551 + ... + 1069821.

It is an arithmetic number, because the mean of its divisors is an integer number (7128576).

Almost surely, 2289884906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289884906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342171648).

289884906 is an abundant number, since it is smaller than the sum of its proper divisors (394458390).

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

289884906 is a wasteful number, since it uses less digits than its factorization.

289884906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 289884906 is about 17026.0067543743. The cubic root of 289884906 is about 661.8230177699.

The spelling of 289884906 in words is "two hundred eighty-nine million, eight hundred eighty-four thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 31 54 62 71 81 93 142 162 186 213 243 271 279 426 486 542 558 639 813 837 1278 1626 1674 1917 2201 2439 2511 3834 4402 4878 5022 5751 6603 7317 7533 8401 11502 13206 14634 15066 16802 17253 19241 19809 21951 25203 34506 38482 39618 43902 50406 57723 59427 65853 75609 115446 118854 131706 151218 173169 178281 226827 346338 356562 453654 519507 534843 596471 680481 1039014 1069686 1192942 1360962 1558521 1789413 2041443 3117042 3578826 4082886 4675563 5368239 9351126 10736478 16104717 32209434 48314151 96628302 144942453 289884906