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83082685 = 5721133001
BaseRepresentation
bin1001111001110…
…11110110111101
312210100001000111
410330323312331
5132232121220
612124430021
72026122400
oct474736675
9183301014
1083082685
1142997284
12239a8311
131429c56a
14b069d37
15746215a
hex4f3bdbd

83082685 has 24 divisors (see below), whose sum is σ = 117041976. Its totient is φ = 56448000.

The previous prime is 83082683. The next prime is 83082719. The reversal of 83082685 is 58628038.

It can be written as a sum of positive squares in 4 ways, for example, as 17689 + 83064996 = 133^2 + 9114^2 .

It is not a de Polignac number, because 83082685 - 21 = 83082683 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83082683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26185 + ... + 29185.

It is an arithmetic number, because the mean of its divisors is an integer number (4876749).

Almost surely, 283082685 is an apocalyptic number.

It is an amenable number.

83082685 is a deficient number, since it is larger than the sum of its proper divisors (33959291).

83082685 is a wasteful number, since it uses less digits than its factorization.

83082685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 83082685 is about 9114.9703784489. The cubic root of 83082685 is about 436.3518695993.

The spelling of 83082685 in words is "eighty-three million, eighty-two thousand, six hundred eighty-five".

Divisors: 1 5 7 35 49 113 245 565 791 3001 3955 5537 15005 21007 27685 105035 147049 339113 735245 1695565 2373791 11868955 16616537 83082685