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82763531 = 172733923
BaseRepresentation
bin1001110111011…
…01111100001011
312202201211012222
410323231330023
5132141413111
612113524255
72023323044
oct473557413
9182654188
1082763531
1142799514
122387368b
13141ba206
14adc58cb
1573ec7db
hex4eedf0b

82763531 has 12 divisors (see below), whose sum is σ = 89145432. Its totient is φ = 76808448.

The previous prime is 82763507. The next prime is 82763539. The reversal of 82763531 is 13536728.

It is not a de Polignac number, because 82763531 - 26 = 82763467 is a prime.

It is a super-2 number, since 2×827635312 = 13699604127175922, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82763491 and 82763500.

It is not an unprimeable number, because it can be changed into a prime (82763539) 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 11 ways as a sum of consecutive naturals, for example, 19136 + ... + 23058.

It is an arithmetic number, because the mean of its divisors is an integer number (7428786).

Almost surely, 282763531 is an apocalyptic number.

82763531 is a deficient number, since it is larger than the sum of its proper divisors (6381901).

82763531 is a wasteful number, since it uses less digits than its factorization.

82763531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4013 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 82763531 is about 9097.4463999520. The cubic root of 82763531 is about 435.7924182992.

The spelling of 82763531 in words is "eighty-two million, seven hundred sixty-three thousand, five hundred thirty-one".

Divisors: 1 17 73 289 1241 3923 21097 66691 286379 1133747 4868443 82763531