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806984112 = 2431119257313
BaseRepresentation
bin110000000110011…
…001100110110000
32002020111001002110
4300012121212300
53123041442422
6212024245320
725666152234
oct6006314660
92066431073
10806984112
11384581120
121a6310840
13cb259abc
14792665c4
154aca660c
hex301999b0

806984112 has 160 divisors (see below), whose sum is σ = 2410917120. Its totient is φ = 230031360.

The previous prime is 806984107. The next prime is 806984117. The reversal of 806984112 is 211489608.

It is an interprime number because it is at equal distance from previous prime (806984107) and next prime (806984117).

It is not an unprimeable number, because it can be changed into a prime (806984117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2578068 + ... + 2578380.

It is an arithmetic number, because the mean of its divisors is an integer number (15068232).

Almost surely, 2806984112 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 806984112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205458560).

806984112 is an abundant number, since it is smaller than the sum of its proper divisors (1603933008).

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

806984112 is a wasteful number, since it uses less digits than its factorization.

806984112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 806984112 is about 28407.4657792630. The cubic root of 806984112 is about 931.0113913130.

The spelling of 806984112 in words is "eight hundred six million, nine hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 257 264 304 313 418 456 514 528 626 627 771 836 912 939 1028 1252 1254 1542 1672 1878 2056 2504 2508 2827 3084 3344 3443 3756 4112 4883 5008 5016 5654 5947 6168 6886 7512 8481 9766 10032 10329 11308 11894 12336 13772 14649 15024 16962 17841 19532 20658 22616 23788 27544 29298 33924 35682 39064 41316 45232 47576 53713 55088 58596 65417 67848 71364 78128 80441 82632 95152 107426 117192 130834 135696 142728 160882 161139 165264 196251 214852 234384 241323 261668 285456 321764 322278 392502 429704 482646 523336 643528 644556 785004 859408 884851 965292 1046672 1287056 1289112 1528379 1570008 1769702 1930584 2578224 2654553 3056758 3140016 3539404 3861168 4585137 5309106 6113516 7078808 9170274 10618212 12227032 14157616 16812169 18340548 21236424 24454064 33624338 36681096 42472848 50436507 67248676 73362192 100873014 134497352 201746028 268994704 403492056 806984112