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82136361 = 31271931117
BaseRepresentation
bin1001110010101…
…00110100101001
312201112221220110
410321110310221
5132011330421
612052244533
72015101416
oct471246451
9181487813
1082136361
114240029a
1223610749
131402a8c8
14aca110d
157326a76
hex4e54d29

82136361 has 16 divisors (see below), whose sum is σ = 111048704. Its totient is φ = 53996544.

The previous prime is 82136347. The next prime is 82136363. The reversal of 82136361 is 16363128.

It is not a de Polignac number, because 82136361 - 213 = 82128169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82136363) 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, 72975 + ... + 74091.

It is an arithmetic number, because the mean of its divisors is an integer number (6940544).

Almost surely, 282136361 is an apocalyptic number.

It is an amenable number.

82136361 is a deficient number, since it is larger than the sum of its proper divisors (28912343).

82136361 is a wasteful number, since it uses less digits than its factorization.

82136361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440.

The product of its digits is 5184, while the sum is 30.

The square root of 82136361 is about 9062.9112872189. The cubic root of 82136361 is about 434.6888354704.

Adding to 82136361 its reverse (16363128), we get a palindrome (98499489).

The spelling of 82136361 in words is "eighty-two million, one hundred thirty-six thousand, three hundred sixty-one".

Divisors: 1 3 127 193 381 579 1117 3351 24511 73533 141859 215581 425577 646743 27378787 82136361