Search a number
-
+
82390689 = 344124809
BaseRepresentation
bin1001110100100…
…10111010100001
312202000212210000
410322102322201
5132043000224
612101530213
72020211043
oct472227241
9182025700
1082390689
1142564387
1223713969
13140b95b4
14ad29a93
1573770c9
hex4e92ea1

82390689 has 20 divisors (see below), whose sum is σ = 126084420. Its totient is φ = 53585280.

The previous prime is 82390667. The next prime is 82390717. The reversal of 82390689 is 98609328.

It can be written as a sum of positive squares in 2 ways, for example, as 35605089 + 46785600 = 5967^2 + 6840^2 .

It is not a de Polignac number, because 82390689 - 28 = 82390433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82391689) 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 in 19 ways as a sum of consecutive naturals, for example, 9084 + ... + 15725.

It is an arithmetic number, because the mean of its divisors is an integer number (6304221).

Almost surely, 282390689 is an apocalyptic number.

It is an amenable number.

82390689 is a deficient number, since it is larger than the sum of its proper divisors (43693731).

82390689 is a wasteful number, since it uses less digits than its factorization.

82390689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24862 (or 24853 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 82390689 is about 9076.9316952371. The cubic root of 82390689 is about 435.1370317392.

The spelling of 82390689 in words is "eighty-two million, three hundred ninety thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 24809 74427 223281 669843 1017169 2009529 3051507 9154521 27463563 82390689