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83681361 = 3217546937
BaseRepresentation
bin1001111110011…
…10000001010001
312211110110020200
410333032001101
5132410300421
612145325413
72034164661
oct477160121
9184413220
1083681361
1143266055
1224036869
131444bbca
14b1841a1
15752e726
hex4fce051

83681361 has 12 divisors (see below), whose sum is σ = 127983492. Its totient is φ = 52505856.

The previous prime is 83681333. The next prime is 83681363. The reversal of 83681361 is 16318638.

It can be written as a sum of positive squares in 2 ways, for example, as 25250625 + 58430736 = 5025^2 + 7644^2 .

It is not a de Polignac number, because 83681361 - 27 = 83681233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83681363) 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 11 ways as a sum of consecutive naturals, for example, 273316 + ... + 273621.

It is an arithmetic number, because the mean of its divisors is an integer number (10665291).

Almost surely, 283681361 is an apocalyptic number.

It is an amenable number.

83681361 is a deficient number, since it is larger than the sum of its proper divisors (44302131).

83681361 is a wasteful number, since it uses less digits than its factorization.

83681361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546960 (or 546957 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 83681361 is about 9147.7516909894. The cubic root of 83681361 is about 437.3974481810.

Adding to 83681361 its reverse (16318638), we get a palindrome (99999999).

The spelling of 83681361 in words is "eighty-three million, six hundred eighty-one thousand, three hundred sixty-one".

Divisors: 1 3 9 17 51 153 546937 1640811 4922433 9297929 27893787 83681361