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82266993 = 3213766721
BaseRepresentation
bin1001110011101…
…00101101110001
312201210121002200
410321310231301
5132030020433
612055133413
72016154314
oct471645561
9181717080
1082266993
114248a456
1223674269
13140751c3
14acd697b
157350613
hex4e74b71

82266993 has 12 divisors (see below), whose sum is σ = 119699268. Its totient is φ = 54443520.

The previous prime is 82266991. The next prime is 82267013. The reversal of 82266993 is 39966228.

It can be written as a sum of positive squares in 2 ways, for example, as 42614784 + 39652209 = 6528^2 + 6297^2 .

It is not a de Polignac number, because 82266993 - 21 = 82266991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82266991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32128 + ... + 34593.

It is an arithmetic number, because the mean of its divisors is an integer number (9974939).

Almost surely, 282266993 is an apocalyptic number.

It is an amenable number.

82266993 is a deficient number, since it is larger than the sum of its proper divisors (37432275).

82266993 is a wasteful number, since it uses less digits than its factorization.

82266993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66864 (or 66861 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 82266993 is about 9070.1153796410. The cubic root of 82266993 is about 434.9191605625.

The spelling of 82266993 in words is "eighty-two million, two hundred sixty-six thousand, nine hundred ninety-three".

Divisors: 1 3 9 137 411 1233 66721 200163 600489 9140777 27422331 82266993