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806364608 = 26771101251
BaseRepresentation
bin110000000100000…
…010010111000000
32002012022120021212
4300010002113000
53122412131413
6212003105252
725660662140
oct6004022700
92065276255
10806364608
11384198735
121a6072228
13cb0a0b2a
1479144920
154abd2ca8
hex301025c0

806364608 has 112 divisors (see below), whose sum is σ = 1880299008. Its totient is φ = 336000000.

The previous prime is 806364599. The next prime is 806364641. The reversal of 806364608 is 806463608.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3212483 + ... + 3212733.

It is an arithmetic number, because the mean of its divisors is an integer number (16788384).

Almost surely, 2806364608 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 806364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940149504).

806364608 is an abundant number, since it is smaller than the sum of its proper divisors (1073934400).

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

806364608 is a wasteful number, since it uses less digits than its factorization.

806364608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 806364608 is about 28396.5597916367. The cubic root of 806364608 is about 930.7730913162.

The spelling of 806364608 in words is "eight hundred six million, three hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 101 112 142 202 224 251 284 404 448 497 502 568 707 808 994 1004 1136 1414 1616 1757 1988 2008 2272 2828 3232 3514 3976 4016 4544 5656 6464 7028 7171 7952 8032 11312 14056 14342 15904 16064 17821 22624 25351 28112 28684 31808 35642 45248 50197 50702 56224 57368 71284 100394 101404 112448 114736 124747 142568 177457 200788 202808 229472 249494 285136 354914 401576 405616 458944 498988 570272 709828 803152 811232 997976 1140544 1419656 1606304 1622464 1799921 1995952 2839312 3212608 3599842 3991904 5678624 7199684 7983808 11357248 12599447 14399368 25198894 28798736 50397788 57597472 100795576 115194944 201591152 403182304 806364608