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82311381 = 32137241277
BaseRepresentation
bin1001110011111…
…11100011010101
312201212211222200
410321333203111
5132032431011
612100115113
72016430605
oct471774325
9181784880
1082311381
114250a839
1223695a99
131408c479
14ad08c05
15735d856
hex4e7f8d5

82311381 has 24 divisors (see below), whose sum is σ = 120693144. Its totient is φ = 54051840.

The previous prime is 82311353. The next prime is 82311389. The reversal of 82311381 is 18311328.

It can be written as a sum of positive squares in 4 ways, for example, as 11902500 + 70408881 = 3450^2 + 8391^2 .

It is not a de Polignac number, because 82311381 - 27 = 82311253 is a prime.

It is a super-2 number, since 2×823113812 = 13550326884254322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82311389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297015 + ... + 297291.

It is an arithmetic number, because the mean of its divisors is an integer number (5028881).

Almost surely, 282311381 is an apocalyptic number.

It is an amenable number.

82311381 is a deficient number, since it is larger than the sum of its proper divisors (38381763).

82311381 is a wasteful number, since it uses less digits than its factorization.

82311381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 658 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 82311381 is about 9072.5619865615. The cubic root of 82311381 is about 434.9973681965.

The spelling of 82311381 in words is "eighty-two million, three hundred eleven thousand, three hundred eighty-one".

Divisors: 1 3 9 137 241 277 411 723 831 1233 2169 2493 33017 37949 66757 99051 113847 200271 297153 341541 600813 9145709 27437127 82311381