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808168368 = 24373191257
BaseRepresentation
bin110000001010111…
…010101110110000
32002022201012120210
4300022322232300
53123342341433
6212105504120
726012214000
oct6012725660
92068635523
10808168368
1138520a947
121a67a2040
13cb582b47
1479494000
154ae3c463
hex302babb0

808168368 has 160 divisors (see below), whose sum is σ = 2456985600. Its totient is φ = 228802560.

The previous prime is 808168331. The next prime is 808168381. The reversal of 808168368 is 863861808.

It is a happy number.

It is a super-2 number, since 2×8081683682 = 1306272222071566848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3144496 + ... + 3144752.

It is an arithmetic number, because the mean of its divisors is an integer number (15356160).

Almost surely, 2808168368 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 808168368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228492800).

808168368 is an abundant number, since it is smaller than the sum of its proper divisors (1648817232).

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

808168368 is a wasteful number, since it uses less digits than its factorization.

808168368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 808168368 is about 28428.3022356243. The cubic root of 808168368 is about 931.4665910757.

The spelling of 808168368 in words is "eight hundred eight million, one hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 191 196 257 294 336 343 382 392 514 573 588 686 764 771 784 1028 1029 1146 1176 1337 1372 1528 1542 1799 2056 2058 2292 2352 2674 2744 3056 3084 3598 4011 4112 4116 4584 5348 5397 5488 6168 7196 8022 8232 9168 9359 10696 10794 12336 12593 14392 16044 16464 18718 21392 21588 25186 28077 28784 32088 37436 37779 43176 49087 50372 56154 64176 65513 74872 75558 86352 88151 98174 100744 112308 131026 147261 149744 151116 176302 196348 196539 201488 224616 262052 264453 294522 302232 343609 352604 392696 393078 449232 524104 528906 589044 604464 687218 705208 785392 786156 1030827 1048208 1057812 1178088 1374436 1410416 1572312 2061654 2115624 2356176 2405263 2748872 3144624 4123308 4231248 4810526 5497744 7215789 8246616 9621052 14431578 16493232 16836841 19242104 28863156 33673682 38484208 50510523 57726312 67347364 101021046 115452624 134694728 202042092 269389456 404084184 808168368