Search a number
-
+
2828191001 is a prime number
BaseRepresentation
bin1010100010010010…
…1100010100011001
321022002201222200212
42220210230110121
521243004103001
61144345540505
7130041140546
oct25044542431
97262658625
102828191001
111221492839
1266b1a4735
13360c1a9cc
141cb881bcd
151184577bb
hexa892c519

2828191001 has 2 divisors, whose sum is σ = 2828191002. Its totient is φ = 2828191000.

The previous prime is 2828190961. The next prime is 2828191049. The reversal of 2828191001 is 1001918282.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2769285376 + 58905625 = 52624^2 + 7675^2 .

It is a cyclic number.

It is not a de Polignac number, because 2828191001 - 210 = 2828189977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2828191081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1414095500 + 1414095501.

It is an arithmetic number, because the mean of its divisors is an integer number (1414095501).

Almost surely, 22828191001 is an apocalyptic number.

It is an amenable number.

2828191001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2828191001 is an equidigital number, since it uses as much as digits as its factorization.

2828191001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 32.

The square root of 2828191001 is about 53180.7390038912. The cubic root of 2828191001 is about 1414.1742073202.

The spelling of 2828191001 in words is "two billion, eight hundred twenty-eight million, one hundred ninety-one thousand, one".