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289821096 = 23326773823
BaseRepresentation
bin10001010001100…
…101000110101000
3202012100102210200
4101101211012220
51043143233341
644431512200
710116303315
oct2121450650
9665312720
10289821096
11139661974
1281088660
1348075996
142a6c3d0c
151a69cdb6
hex114651a8

289821096 has 96 divisors (see below), whose sum is σ = 808541760. Its totient is φ = 93747456.

The previous prime is 289821089. The next prime is 289821101. The reversal of 289821096 is 690128982.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 351741 + ... + 352563.

It is an arithmetic number, because the mean of its divisors is an integer number (8422310).

Almost surely, 2289821096 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 289821096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404270880).

289821096 is an abundant number, since it is smaller than the sum of its proper divisors (518720664).

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

289821096 is a wasteful number, since it uses less digits than its factorization.

289821096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 289821096 is about 17024.1327532418. The cubic root of 289821096 is about 661.7744536387.

The spelling of 289821096 in words is "two hundred eighty-nine million, eight hundred twenty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 73 134 146 201 219 268 292 402 438 536 584 603 657 804 823 876 1206 1314 1608 1646 1752 2412 2469 2628 3292 4824 4891 4938 5256 6584 7407 9782 9876 14673 14814 19564 19752 29346 29628 39128 44019 55141 58692 59256 60079 88038 110282 117384 120158 165423 176076 180237 220564 240316 330846 352152 360474 441128 480632 496269 540711 661692 720948 992538 1081422 1323384 1441896 1985076 2162844 3970152 4025293 4325688 8050586 12075879 16101172 24151758 32202344 36227637 48303516 72455274 96607032 144910548 289821096