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82578233 is a prime number
BaseRepresentation
bin1001110110000…
…00101100111001
312202101102001002
410323000230321
5132120000413
612105534345
72021621603
oct473005471
9182342032
1082578233
1142682281
12237a43b5
1314153a7a
14ad78173
1573b2958
hex4ec0b39

82578233 has 2 divisors, whose sum is σ = 82578234. Its totient is φ = 82578232.

The previous prime is 82578227. The next prime is 82578239. The reversal of 82578233 is 33287528.

It is a balanced prime because it is at equal distance from previous prime (82578227) and next prime (82578239).

It can be written as a sum of positive squares in only one way, i.e., 59413264 + 23164969 = 7708^2 + 4813^2 .

It is a cyclic number.

It is not a de Polignac number, because 82578233 - 24 = 82578217 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82578239) 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 as a sum of consecutive naturals, namely, 41289116 + 41289117.

It is an arithmetic number, because the mean of its divisors is an integer number (41289117).

Almost surely, 282578233 is an apocalyptic number.

It is an amenable number.

82578233 is a deficient number, since it is larger than the sum of its proper divisors (1).

82578233 is an equidigital number, since it uses as much as digits as its factorization.

82578233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 80640, while the sum is 38.

The square root of 82578233 is about 9087.2566267273. The cubic root of 82578233 is about 435.4669456261.

The spelling of 82578233 in words is "eighty-two million, five hundred seventy-eight thousand, two hundred thirty-three".