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2806886112 = 253191798597
BaseRepresentation
bin1010011101001101…
…1010111011100000
321020121122120212220
42213103122323200
521222030323422
61142305151040
7126362065302
oct24723327340
97217576786
102806886112
111210461098
1266402b480
1335969b674
141c8ad7972
15116649e5c
hexa74daee0

2806886112 has 96 divisors (see below), whose sum is σ = 7800105600. Its totient is φ = 881330688.

The previous prime is 2806886087. The next prime is 2806886113. The reversal of 2806886112 is 2116886082.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806886113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322198 + ... + 330794.

It is an arithmetic number, because the mean of its divisors is an integer number (81251100).

Almost surely, 22806886112 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 2806886112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900052800).

2806886112 is an abundant number, since it is smaller than the sum of its proper divisors (4993219488).

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

2806886112 is a wasteful number, since it uses less digits than its factorization.

2806886112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8808 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 2806886112 is about 52980.0539071073. The cubic root of 2806886112 is about 1410.6142407030.

The spelling of 2806886112 in words is "two billion, eight hundred six million, eight hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 179 228 304 358 456 537 608 716 912 1074 1432 1824 2148 2864 3401 4296 5728 6802 8592 8597 10203 13604 17184 17194 20406 25791 27208 34388 40812 51582 54416 68776 81624 103164 108832 137552 163248 163343 206328 275104 326496 326686 412656 490029 653372 825312 980058 1306744 1538863 1960116 2613488 3077726 3920232 4616589 5226976 6155452 7840464 9233178 12310904 15680928 18466356 24621808 29238397 36932712 49243616 58476794 73865424 87715191 116953588 147730848 175430382 233907176 350860764 467814352 701721528 935628704 1403443056 2806886112