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808831440 = 243351722027
BaseRepresentation
bin110000001101011…
…100100111010000
32002100221220011000
4300031130213100
53124030101230
6212132022000
726020645104
oct6015344720
92070856130
10808831440
1138562303a
121a6a61900
13cb7558b1
14795c7904
154b01db60
hex3035c9d0

808831440 has 160 divisors (see below), whose sum is σ = 2949989760. Its totient is φ = 202991616.

The previous prime is 808831421. The next prime is 808831453. The reversal of 808831440 is 44138808.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 808831395 and 808831404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25707 + ... + 47733.

It is an arithmetic number, because the mean of its divisors is an integer number (18437436).

Almost surely, 2808831440 is an apocalyptic number.

808831440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474994880).

808831440 is an abundant number, since it is smaller than the sum of its proper divisors (2141158320).

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

808831440 is a wasteful number, since it uses less digits than its factorization.

808831440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22066 (or 22054 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 808831440 is about 28439.9620252911. The cubic root of 808831440 is about 931.7212659689.

The spelling of 808831440 in words is "eight hundred eight million, eight hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 22027 36720 44054 66081 88108 110135 132162 176216 198243 220270 264324 330405 352432 374459 396486 440540 528648 594729 660810 748918 792972 881080 991215 1057296 1123377 1189458 1321620 1497836 1585944 1762160 1872295 1982430 2246754 2378916 2643240 2973645 2995672 3171888 3370131 3744590 3964860 4493508 4757832 5286480 5616885 5947290 5991344 6740262 7489180 7929720 8987016 9515664 10110393 11233770 11894580 13480524 14978360 15859440 16850655 17974032 20220786 22467540 23789160 26961048 29956720 33701310 40441572 44935080 47578320 50551965 53922096 67402620 80883144 89870160 101103930 134805240 161766288 202207860 269610480 404415720 808831440