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2842086260 = 2251352120981
BaseRepresentation
bin1010100101100110…
…1100101101110100
321100001212221102002
42221121230231310
521310033230020
61150003434432
7130300222526
oct25131545564
97301787362
102842086260
111229313522
12673985a18
13363a74560
141cd65ba16
1511979e975
hexa966cb74

2842086260 has 48 divisors (see below), whose sum is σ = 6440131152. Its totient is φ = 1047321600.

The previous prime is 2842086259. The next prime is 2842086277. The reversal of 2842086260 is 626802482.

It can be written as a sum of positive squares in 8 ways, for example, as 377758096 + 2464328164 = 19436^2 + 49642^2 .

It is a congruent number.

It is an unprimeable number.

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, 124970 + ... + 145950.

It is an arithmetic number, because the mean of its divisors is an integer number (134169399).

Almost surely, 22842086260 is an apocalyptic number.

2842086260 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 2842086260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220065576).

2842086260 is an abundant number, since it is smaller than the sum of its proper divisors (3598044892).

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

2842086260 is a wasteful number, since it uses less digits than its factorization.

2842086260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21524 (or 21522 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 2842086260 is about 53311.2207701156. The cubic root of 2842086260 is about 1416.4864300960.

The spelling of 2842086260 in words is "two billion, eight hundred forty-two million, eighty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 521 1042 2084 2605 5210 6773 10420 13546 20981 27092 33865 41962 67730 83924 104905 135460 209810 272753 419620 545506 1091012 1363765 2727530 5455060 10931101 21862202 43724404 54655505 109311010 142104313 218622020 284208626 568417252 710521565 1421043130 2842086260