[go: up one dir, main page]

Search a number
-
+
2824289401 is a prime number
BaseRepresentation
bin1010100001010111…
…0011110001111001
321021211101202201011
42220111303301321
521241004230101
61144130153521
7126663030613
oct25025636171
97254352634
102824289401
11121a26847a
12669a228a1
13360182b7b
141cb147db3
15117e36751
hexa8573c79

2824289401 has 2 divisors, whose sum is σ = 2824289402. Its totient is φ = 2824289400.

The previous prime is 2824289359. The next prime is 2824289411. The reversal of 2824289401 is 1049824282.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1740892176 + 1083397225 = 41724^2 + 32915^2 .

It is a cyclic number.

It is not a de Polignac number, because 2824289401 - 29 = 2824288889 is a prime.

It is a super-2 number, since 2×28242894012 = 15953221241201877602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2824289411) by changing a digit.

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 as a sum of consecutive naturals, namely, 1412144700 + 1412144701.

It is an arithmetic number, because the mean of its divisors is an integer number (1412144701).

Almost surely, 22824289401 is an apocalyptic number.

It is an amenable number.

2824289401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2824289401 is an equidigital number, since it uses as much as digits as its factorization.

2824289401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 2824289401 is about 53144.0438901670. The cubic root of 2824289401 is about 1413.5236051917.

The spelling of 2824289401 in words is "two billion, eight hundred twenty-four million, two hundred eighty-nine thousand, four hundred one".