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2838130386 = 237138362627
BaseRepresentation
bin1010100100101010…
…0110111011010010
321022210102221222020
42221022212323102
521303030133021
61145342552310
7130221465420
oct25112467322
97283387866
102838130386
111227061403
12672598696
13362cbaac0
141ccd0c110
1511926c7c6
hexa92a6ed2

2838130386 has 64 divisors (see below), whose sum is σ = 7070450688. Its totient is φ = 739487808.

The previous prime is 2838130369. The next prime is 2838130397. The reversal of 2838130386 is 6830318382.

2838130386 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14005 + ... + 76631.

It is an arithmetic number, because the mean of its divisors is an integer number (110475792).

Almost surely, 22838130386 is an apocalyptic number.

2838130386 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838130386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535225344).

2838130386 is an abundant number, since it is smaller than the sum of its proper divisors (4232320302).

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

2838130386 is a wasteful number, since it uses less digits than its factorization.

2838130386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62735.

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2838130386 is about 53274.1061492354. The cubic root of 2838130386 is about 1415.8289267536.

The spelling of 2838130386 in words is "two billion, eight hundred thirty-eight million, one hundred thirty thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 83 91 166 182 249 273 498 546 581 1079 1162 1743 2158 3237 3486 6474 7553 15106 22659 45318 62627 125254 187881 375762 438389 814151 876778 1315167 1628302 2442453 2630334 4884906 5198041 5699057 10396082 11398114 15594123 17097171 31188246 34194342 36386287 67574533 72772574 109158861 135149066 202723599 218317722 405447198 473021731 946043462 1419065193 2838130386