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2857808080 = 2451491971217
BaseRepresentation
bin1010101001010110…
…1011000011010000
321101011110200200201
42222111223003100
521323044324310
61151324424544
7130550652661
oct25225530320
97334420621
102857808080
111237181566
126790a8154
133670ba5ca
141d1791368
1511ad57e3a
hexaa56b0d0

2857808080 has 80 divisors (see below), whose sum is σ = 6728475600. Its totient is φ = 1128759296.

The previous prime is 2857808077. The next prime is 2857808111. The reversal of 2857808080 is 808087582.

It can be written as a sum of positive squares in 8 ways, for example, as 7529536 + 2850278544 = 2744^2 + 53388^2 .

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

It is a super-2 number, since 2×28578080802 = 16334134044226572800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2857808080.

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, 2347632 + ... + 2348848.

It is an arithmetic number, because the mean of its divisors is an integer number (84105945).

Almost surely, 22857808080 is an apocalyptic number.

2857808080 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 2857808080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364237800).

2857808080 is an abundant number, since it is smaller than the sum of its proper divisors (3870667520).

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

2857808080 is a wasteful number, since it uses less digits than its factorization.

2857808080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

The square root of 2857808080 is about 53458.4706103719. The cubic root of 2857808080 is about 1419.0935297813.

The spelling of 2857808080 in words is "two billion, eight hundred fifty-seven million, eight hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 197 298 394 596 745 788 985 1192 1217 1490 1576 1970 2384 2434 2980 3152 3940 4868 5960 6085 7880 9736 11920 12170 15760 19472 24340 29353 48680 58706 97360 117412 146765 181333 234824 239749 293530 362666 469648 479498 587060 725332 906665 958996 1174120 1198745 1450664 1813330 1917992 2348240 2397490 2901328 3626660 3835984 4794980 7253320 9589960 14506640 19179920 35722601 71445202 142890404 178613005 285780808 357226010 571561616 714452020 1428904040 2857808080