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82008241 = 741793617
BaseRepresentation
bin1001110001101…
…01100010110001
312201022110011021
410320311202301
5131443230431
612045415441
72014026040
oct470654261
9181273137
1082008241
1142323007
122356a581
1313cb44b3
14ac6a557
1572edb11
hex4e358b1

82008241 has 16 divisors (see below), whose sum is σ = 97251840. Its totient is φ = 67691520.

The previous prime is 82008239. The next prime is 82008247. The reversal of 82008241 is 14280028.

It is a cyclic number.

It is not a de Polignac number, because 82008241 - 21 = 82008239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82008247) 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 15 ways as a sum of consecutive naturals, for example, 20865 + ... + 24481.

It is an arithmetic number, because the mean of its divisors is an integer number (6078240).

Almost surely, 282008241 is an apocalyptic number.

It is an amenable number.

82008241 is a deficient number, since it is larger than the sum of its proper divisors (15243599).

82008241 is a wasteful number, since it uses less digits than its factorization.

82008241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744.

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 82008241 is about 9055.8401598085. The cubic root of 82008241 is about 434.4627021023.

Adding to 82008241 its reverse (14280028), we get a palindrome (96288269).

The spelling of 82008241 in words is "eighty-two million, eight thousand, two hundred forty-one".

Divisors: 1 7 41 79 287 553 3239 3617 22673 25319 148297 285743 1038079 2000201 11715463 82008241