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82582849 is a prime number
BaseRepresentation
bin1001110110000…
…01110101000001
312202101122101001
410323001311001
5132120122344
612110012001
72021641216
oct473016501
9182348331
1082582849
1142685798
12237a7001
1314155bbb
14ad79b0d
1573b3ed4
hex4ec1d41

82582849 has 2 divisors, whose sum is σ = 82582850. Its totient is φ = 82582848.

The previous prime is 82582781. The next prime is 82582867. The reversal of 82582849 is 94828528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81993025 + 589824 = 9055^2 + 768^2 .

It is a cyclic number.

It is not a de Polignac number, because 82582849 - 211 = 82580801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82582799 and 82582808.

It is not a weakly prime, because it can be changed into another prime (82582249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41291424 + 41291425.

It is an arithmetic number, because the mean of its divisors is an integer number (41291425).

Almost surely, 282582849 is an apocalyptic number.

It is an amenable number.

82582849 is a deficient number, since it is larger than the sum of its proper divisors (1).

82582849 is an equidigital number, since it uses as much as digits as its factorization.

82582849 is an evil number, because the sum of its binary digits is even.

The product of its digits is 368640, while the sum is 46.

The square root of 82582849 is about 9087.5106052208. The cubic root of 82582849 is about 435.4750594591.

The spelling of 82582849 in words is "eighty-two million, five hundred eighty-two thousand, eight hundred forty-nine".