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2806102208 = 2673139833
BaseRepresentation
bin1010011101000001…
…1011100011000000
321020120011202120102
42213100123203000
521221330232313
61142240301532
7126352322000
oct24720334300
97216152512
102806102208
11120aa76138
126639118a8
13359485910
141c8972000
15116542a58
hexa741b8c0

2806102208 has 112 divisors (see below), whose sum is σ = 6993940800. Its totient is φ = 1109993472.

The previous prime is 2806102207. The next prime is 2806102223. The reversal of 2806102208 is 8022016082.

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

It is not an unprimeable number, because it can be changed into a prime (2806102207) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 280460 + ... + 290292.

It is an arithmetic number, because the mean of its divisors is an integer number (62445900).

Almost surely, 22806102208 is an apocalyptic number.

2806102208 is a gapful number since it is divisible by the number (28) 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 2806102208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496970400).

2806102208 is an abundant number, since it is smaller than the sum of its proper divisors (4187838592).

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

2806102208 is an equidigital number, since it uses as much as digits as its factorization.

2806102208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9879 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2806102208 is about 52972.6552855339. The cubic root of 2806102208 is about 1410.4829102228.

The spelling of 2806102208 in words is "two billion, eight hundred six million, one hundred two thousand, two hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 182 196 208 224 343 364 392 416 448 637 686 728 784 832 1274 1372 1456 1568 2548 2744 2912 3136 4459 5096 5488 5824 8918 9833 10192 10976 17836 19666 20384 21952 35672 39332 40768 68831 71344 78664 127829 137662 142688 157328 255658 275324 285376 314656 481817 511316 550648 629312 894803 963634 1022632 1101296 1789606 1927268 2045264 2202592 3372719 3579212 3854536 4090528 4405184 6263621 6745438 7158424 7709072 8181056 12527242 13490876 14316848 15418144 25054484 26981752 28633696 30836288 43845347 50108968 53963504 57267392 87690694 100217936 107927008 175381388 200435872 215854016 350762776 400871744 701525552 1403051104 2806102208