Search a number
-
+
82394137 = 721681513
BaseRepresentation
bin1001110100100…
…11110000011001
312202001001111201
410322103300121
5132043103022
612101554201
72020224100
oct472236031
9182031451
1082394137
1142566a31
1223715961
13140bb037
14ad2b037
157378127
hex4e93c19

82394137 has 6 divisors (see below), whose sum is σ = 95846298. Its totient is φ = 70623504.

The previous prime is 82394113. The next prime is 82394161. The reversal of 82394137 is 73149328.

It is an interprime number because it is at equal distance from previous prime (82394113) and next prime (82394161).

It can be written as a sum of positive squares in only one way, i.e., 64577296 + 17816841 = 8036^2 + 4221^2 .

It is not a de Polignac number, because 82394137 - 215 = 82361369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82394096 and 82394105.

It is not an unprimeable number, because it can be changed into a prime (82394167) 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 5 ways as a sum of consecutive naturals, for example, 840708 + ... + 840805.

It is an arithmetic number, because the mean of its divisors is an integer number (15974383).

Almost surely, 282394137 is an apocalyptic number.

It is an amenable number.

82394137 is a deficient number, since it is larger than the sum of its proper divisors (13452161).

82394137 is a wasteful number, since it uses less digits than its factorization.

82394137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681527 (or 1681520 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 82394137 is about 9077.1216252731. The cubic root of 82394137 is about 435.1431017275.

The spelling of 82394137 in words is "eighty-two million, three hundred ninety-four thousand, one hundred thirty-seven".

Divisors: 1 7 49 1681513 11770591 82394137