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82606849 = 1397109601
BaseRepresentation
bin1001110110001…
…11101100000001
312202102212021221
410323013230001
5132121404344
612110315041
72022101203
oct473075401
9182385257
1082606849
11426a1826
12237b8a81
1314163ac0
14ad84773
1573bb184
hex4ec7b01

82606849 has 16 divisors (see below), whose sum is σ = 90853840. Its totient is φ = 74649600.

The previous prime is 82606837. The next prime is 82606879. The reversal of 82606849 is 94860628.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 378225 + 82228624 = 615^2 + 9068^2 .

It is a cyclic number.

It is not a de Polignac number, because 82606849 - 25 = 82606817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82606879) 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, 137149 + ... + 137749.

It is an arithmetic number, because the mean of its divisors is an integer number (5678365).

Almost surely, 282606849 is an apocalyptic number.

It is an amenable number.

82606849 is a deficient number, since it is larger than the sum of its proper divisors (8246991).

82606849 is a wasteful number, since it uses less digits than its factorization.

82606849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820.

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 82606849 is about 9088.8310029398. The cubic root of 82606849 is about 435.5172408937.

The spelling of 82606849 in words is "eighty-two million, six hundred six thousand, eight hundred forty-nine".

Divisors: 1 13 97 109 601 1261 1417 7813 10573 58297 65509 137449 757861 851617 6354373 82606849