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2857284820 = 2251317536269
BaseRepresentation
bin1010101001001110…
…1011010011010100
321101010111002220201
42222103223103110
521322431103240
61151305310244
7130543343305
oct25223532324
97333432821
102857284820
111236954415
12678a95384
13366c663a0
141d16967ac
1511aca2d9a
hexaa4eb4d4

2857284820 has 48 divisors (see below), whose sum is σ = 6466577040. Its totient is φ = 1054227456.

The previous prime is 2857284817. The next prime is 2857284841. The reversal of 2857284820 is 284827582.

2857284820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1096139664 + 1761145156 = 33108^2 + 41966^2 .

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, 452646 + ... + 458914.

It is an arithmetic number, because the mean of its divisors is an integer number (134720355).

Almost surely, 22857284820 is an apocalyptic number.

2857284820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2857284820 is an abundant number, since it is smaller than the sum of its proper divisors (3609292220).

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

2857284820 is a wasteful number, since it uses less digits than its factorization.

2857284820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044 (or 8042 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 46.

The square root of 2857284820 is about 53453.5763069226. The cubic root of 2857284820 is about 1419.0069132574.

The spelling of 2857284820 in words is "two billion, eight hundred fifty-seven million, two hundred eighty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1753 3506 6269 7012 8765 12538 17530 22789 25076 31345 35060 45578 62690 81497 91156 113945 125380 162994 227890 325988 407485 455780 814970 1629940 10989557 21979114 43958228 54947785 109895570 142864241 219791140 285728482 571456964 714321205 1428642410 2857284820