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2808066560 = 2951384377
BaseRepresentation
bin1010011101011111…
…1011001000000000
321020200212120011012
42213113323020000
521222331112220
61142350340052
7126405112655
oct24727731000
97220776135
102808066560
111211097a72
126644ba628
133599c2a60
141c8d23c2c
151167ceac5
hexa75fb200

2808066560 has 80 divisors (see below), whose sum is σ = 7250770296. Its totient is φ = 1036812288.

The previous prime is 2808066551. The next prime is 2808066571. The reversal of 2808066560 is 656608082.

It can be written as a sum of positive squares in 4 ways, for example, as 2214267136 + 593799424 = 47056^2 + 24368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8909 + ... + 75468.

Almost surely, 22808066560 is an apocalyptic number.

2808066560 is a gapful number since it is divisible by the number (20) 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 2808066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625385148).

2808066560 is an abundant number, since it is smaller than the sum of its proper divisors (4442703736).

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

2808066560 is an equidigital number, since it uses as much as digits as its factorization.

2808066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84413 (or 84397 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 2808066560 is about 52991.1932305737. The cubic root of 2808066560 is about 1410.8119596125.

The spelling of 2808066560 in words is "two billion, eight hundred eight million, sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 84377 168754 337508 421885 675016 843770 1096901 1350032 1687540 2193802 2700064 3375080 4387604 5400128 5484505 6750160 8775208 10800256 10969010 13500320 17550416 21600512 21938020 27000640 35100832 43201024 43876040 54001280 70201664 87752080 108002560 140403328 175504160 216005120 280806656 351008320 561613312 702016640 1404033280 2808066560