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2806793712 = 243289389563
BaseRepresentation
bin1010011101001100…
…0100010111110000
321020121110220010200
42213103010113300
521222014344322
61142303155200
7126361232022
oct24723042760
97217426120
102806793712
1112103a8728
12663ba5b00
133596685a8
141c8ab2012
1511662c8ac
hexa74c45f0

2806793712 has 120 divisors (see below), whose sum is σ = 7977949200. Its totient is φ = 921068544.

The previous prime is 2806793711. The next prime is 2806793713. The reversal of 2806793712 is 2173976082.

It is an interprime number because it is at equal distance from previous prime (2806793711) and next prime (2806793713).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806793711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4985143 + ... + 4985705.

It is an arithmetic number, because the mean of its divisors is an integer number (66482910).

Almost surely, 22806793712 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 2806793712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988974600).

2806793712 is an abundant number, since it is smaller than the sum of its proper divisors (5171155488).

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

2806793712 is a wasteful number, since it uses less digits than its factorization.

2806793712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2806793712 is about 52979.1818736379. The cubic root of 2806793712 is about 1410.5987618436.

The spelling of 2806793712 in words is "two billion, eight hundred six million, seven hundred ninety-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 389 534 563 712 778 801 1068 1126 1167 1424 1556 1602 1689 2136 2252 2334 3112 3204 3378 3501 4272 4504 4668 5067 6224 6408 6756 7002 9008 9336 10134 12816 13512 14004 18672 20268 27024 28008 34621 40536 50107 56016 69242 81072 100214 103863 138484 150321 200428 207726 219007 276968 300642 311589 400856 415452 438014 450963 553936 601284 623178 657021 801712 830904 876028 901926 1202568 1246356 1314042 1661808 1752056 1803852 1971063 2405136 2492712 2628084 3504112 3607704 3942126 4985424 5256168 7215408 7884252 10512336 15768504 19491623 31537008 38983246 58474869 77966492 116949738 155932984 175424607 233899476 311865968 350849214 467798952 701698428 935597904 1403396856 2806793712