Search a number
-
+
82002457 is a prime number
BaseRepresentation
bin1001110001101…
…00001000011001
312201022011020001
410320310020121
5131443034312
612045333001
72014003135
oct470641031
9181264201
1082002457
1142319729
1223567161
1313cb1984
14ac683c5
1572ec057
hex4e34219

82002457 has 2 divisors, whose sum is σ = 82002458. Its totient is φ = 82002456.

The previous prime is 82002449. The next prime is 82002467. The reversal of 82002457 is 75420028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63027721 + 18974736 = 7939^2 + 4356^2 .

It is a cyclic number.

It is not a de Polignac number, because 82002457 - 23 = 82002449 is a prime.

82002457 is a modest number, since divided by 2457 gives 82 as remainder.

It is not a weakly prime, because it can be changed into another prime (82002467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41001228 + 41001229.

It is an arithmetic number, because the mean of its divisors is an integer number (41001229).

Almost surely, 282002457 is an apocalyptic number.

It is an amenable number.

82002457 is a deficient number, since it is larger than the sum of its proper divisors (1).

82002457 is an equidigital number, since it uses as much as digits as its factorization.

82002457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 82002457 is about 9055.5208022510. The cubic root of 82002457 is about 434.4524877169.

The spelling of 82002457 in words is "eighty-two million, two thousand, four hundred fifty-seven".