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2082593241 = 3378798009
BaseRepresentation
bin111110000100001…
…1101100111011001
312101010202200212000
41330020131213121
513231120440431
6542353111213
7102415515261
oct17410354731
95333680760
102082593241
1197962a143
124a1558509
13272604bc1
1415a8387a1
15c2c799e6
hex7c21d9d9

2082593241 has 16 divisors (see below), whose sum is σ = 3089275200. Its totient is φ = 1386617184.

The previous prime is 2082593231. The next prime is 2082593263. The reversal of 2082593241 is 1423952802.

It is a happy number.

2082593241 is a `hidden beast` number, since 20 + 8 + 2 + 593 + 2 + 41 = 666.

It is not a de Polignac number, because 2082593241 - 211 = 2082591193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2082593196 and 2082593205.

It is not an unprimeable number, because it can be changed into a prime (2082593231) 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 in 15 ways as a sum of consecutive naturals, for example, 27756 + ... + 70253.

It is an arithmetic number, because the mean of its divisors is an integer number (193079700).

Almost surely, 22082593241 is an apocalyptic number.

It is an amenable number.

2082593241 is a deficient number, since it is larger than the sum of its proper divisors (1006681959).

2082593241 is an equidigital number, since it uses as much as digits as its factorization.

2082593241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98805 (or 98799 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2082593241 is about 45635.4384333053. The cubic root of 2082593241 is about 1277.0311321474.

The spelling of 2082593241 in words is "two billion, eighty-two million, five hundred ninety-three thousand, two hundred forty-one".

Divisors: 1 3 9 27 787 2361 7083 21249 98009 294027 882081 2646243 77133083 231399249 694197747 2082593241