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2828368404 = 2232174621517
BaseRepresentation
bin1010100010010101…
…0111101000010100
321022010002000001100
42220211113220110
521243030242104
61144353430100
7130042510011
oct25045275024
97263060040
102828368404
1112215a4054
1266b26b330
13360c80694
141cb8ca708
15118490139
hexa8957a14

2828368404 has 36 divisors (see below), whose sum is σ = 7570046484. Its totient is φ = 887331072.

The previous prime is 2828368391. The next prime is 2828368453. The reversal of 2828368404 is 4048638282.

2828368404 is a `hidden beast` number, since 282 + 8 + 368 + 4 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2522048400 + 306320004 = 50220^2 + 17502^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2828368404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2310147 + ... + 2311370.

It is an arithmetic number, because the mean of its divisors is an integer number (210279069).

Almost surely, 22828368404 is an apocalyptic number.

It is an amenable number.

2828368404 is an abundant number, since it is smaller than the sum of its proper divisors (4741678080).

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

2828368404 is a wasteful number, since it uses less digits than its factorization.

2828368404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621544 (or 4621539 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 2828368404 is about 53182.4069030351. The cubic root of 2828368404 is about 1414.2037755143.

The spelling of 2828368404 in words is "two billion, eight hundred twenty-eight million, three hundred sixty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 4621517 9243034 13864551 18486068 27729102 41593653 55458204 78565789 83187306 157131578 166374612 235697367 314263156 471394734 707092101 942789468 1414184202 2828368404