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82542133 is a prime number
BaseRepresentation
bin1001110101101…
…11111000110101
312202022120112001
410322313320311
5132112322013
612105055301
72021411422
oct472677065
9182276461
1082542133
1142658143
1223787531
13141404cb
14ad68d49
1573a6ddd
hex4eb7e35

82542133 has 2 divisors, whose sum is σ = 82542134. Its totient is φ = 82542132.

The previous prime is 82542113. The next prime is 82542139. The reversal of 82542133 is 33124528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58951684 + 23590449 = 7678^2 + 4857^2 .

It is a cyclic number.

It is not a de Polignac number, because 82542133 - 221 = 80444981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82542139) 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 as a sum of consecutive naturals, namely, 41271066 + 41271067.

It is an arithmetic number, because the mean of its divisors is an integer number (41271067).

Almost surely, 282542133 is an apocalyptic number.

It is an amenable number.

82542133 is a deficient number, since it is larger than the sum of its proper divisors (1).

82542133 is an equidigital number, since it uses as much as digits as its factorization.

82542133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760, while the sum is 28.

The square root of 82542133 is about 9085.2701115597. The cubic root of 82542133 is about 435.4034799585.

The spelling of 82542133 in words is "eighty-two million, five hundred forty-two thousand, one hundred thirty-three".