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804110112 = 25331325507
BaseRepresentation
bin101111111011011…
…011111100100000
32002001002000201000
4233323123330200
53121323010422
6211442512000
725632552231
oct5773337440
92061060630
10804110112
11382998913
121a5365600
13ca791900
1478b19088
154a8d9cac
hex2fedbf20

804110112 has 144 divisors (see below), whose sum is σ = 2540069280. Its totient is φ = 247373568.

The previous prime is 804110101. The next prime is 804110119. The reversal of 804110112 is 211011408.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (804110119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143263 + ... + 148769.

It is an arithmetic number, because the mean of its divisors is an integer number (17639370).

Almost surely, 2804110112 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 804110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270034640).

804110112 is an abundant number, since it is smaller than the sum of its proper divisors (1735959168).

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

804110112 is a wasteful number, since it uses less digits than its factorization.

804110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 804110112 is about 28356.8353664509. The cubic root of 804110112 is about 929.9048393787.

The spelling of 804110112 in words is "eight hundred four million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 169 208 216 234 288 312 338 351 416 432 468 507 624 676 702 864 936 1014 1248 1352 1404 1521 1872 2028 2704 2808 3042 3744 4056 4563 5408 5507 5616 6084 8112 9126 11014 11232 12168 16224 16521 18252 22028 24336 33042 36504 44056 48672 49563 66084 71591 73008 88112 99126 132168 143182 146016 148689 176224 198252 214773 264336 286364 297378 396504 429546 528672 572728 594756 644319 793008 859092 930683 1145456 1189512 1288638 1586016 1718184 1861366 1932957 2290912 2379024 2577276 2792049 3436368 3722732 3865914 4758048 5154552 5584098 6872736 7445464 7731828 8376147 10309104 11168196 14890928 15463656 16752294 20618208 22336392 25128441 29781856 30927312 33504588 44672784 50256882 61854624 67009176 89345568 100513764 134018352 201027528 268036704 402055056 804110112