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82083833 = 1329239911
BaseRepresentation
bin1001110010001…
…11111111111001
312201110021211222
410321013333321
5132003140313
612051201425
72014462316
oct471077771
9181407758
1082083833
1142374887
12235a6275
131400ca20
14ac89d0d
157316208
hex4e47ff9

82083833 has 16 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 72770880.

The previous prime is 82083823. The next prime is 82083863. The reversal of 82083833 is 33838028.

It is not a de Polignac number, because 82083833 - 24 = 82083817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82083793 and 82083802.

It is not an unprimeable number, because it can be changed into a prime (82083823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89648 + ... + 90558.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 282083833 is an apocalyptic number.

It is an amenable number.

82083833 is a deficient number, since it is larger than the sum of its proper divisors (9845767).

82083833 is a wasteful number, since it uses less digits than its factorization.

82083833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192.

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 82083833 is about 9060.0128587105. The cubic root of 82083833 is about 434.5961513693.

The spelling of 82083833 in words is "eighty-two million, eighty-three thousand, eight hundred thirty-three".

Divisors: 1 13 29 239 377 911 3107 6931 11843 26419 90103 217729 343447 2830477 6314141 82083833