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808536064 = 211731151
BaseRepresentation
bin110000001100010…
…100100000000000
32002100101212222011
4300030110200000
53123441123224
6212121422304
726015305000
oct6014244000
92070355864
10808536064
11385441126
121a693a994
13cb68130b
147954c000
154aeb1394
hex30314800

808536064 has 96 divisors (see below), whose sum is σ = 1886976000. Its totient is φ = 346214400.

The previous prime is 808535999. The next prime is 808536073. The reversal of 808536064 is 460635808.

It is a super-2 number, since 2×8085360642 = 1307461133577224192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701889 + ... + 703039.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 2808536064 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 808536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

808536064 is an abundant number, since it is smaller than the sum of its proper divisors (1078439936).

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

808536064 is an equidigital number, since it uses as much as digits as its factorization.

808536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 808536064 is about 28434.7685765156. The cubic root of 808536064 is about 931.6078341730.

The spelling of 808536064 in words is "eight hundred eight million, five hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1151 1372 1568 1792 2048 2302 2744 3136 3584 4604 5488 6272 7168 8057 9208 10976 12544 14336 16114 18416 21952 25088 32228 36832 43904 50176 56399 64456 73664 87808 100352 112798 128912 147328 175616 225596 257824 294656 351232 394793 451192 515648 589312 702464 789586 902384 1031296 1178624 1579172 1804768 2062592 2357248 3158344 3609536 4125184 6316688 7219072 8250368 12633376 14438144 16500736 25266752 28876288 50533504 57752576 101067008 115505152 202134016 404268032 808536064