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82207385 = 5131936553
BaseRepresentation
bin1001110011001…
…10001010011001
312201200120022222
410321212022121
5132021114020
612053553425
72015515451
oct471461231
9181616288
1082207385
1142449697
1223645875
1314054030
14acbcd61
15733cb25
hex4e66299

82207385 has 16 divisors (see below), whose sum is σ = 106803984. Its totient is φ = 60383232.

The previous prime is 82207343. The next prime is 82207397. The reversal of 82207385 is 58370228.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17774656 + 64432729 = 4216^2 + 8027^2 .

It is not a de Polignac number, because 82207385 - 214 = 82191001 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 9269 + ... + 15821.

It is an arithmetic number, because the mean of its divisors is an integer number (6675249).

Almost surely, 282207385 is an apocalyptic number.

It is an amenable number.

82207385 is a deficient number, since it is larger than the sum of its proper divisors (24596599).

82207385 is a wasteful number, since it uses less digits than its factorization.

82207385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764.

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 82207385 is about 9066.8288282067. The cubic root of 82207385 is about 434.8140924006.

The spelling of 82207385 in words is "eighty-two million, two hundred seven thousand, three hundred eighty-five".

Divisors: 1 5 13 65 193 965 2509 6553 12545 32765 85189 425945 1264729 6323645 16441477 82207385