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82697953 = 132489337
BaseRepresentation
bin1001110110111…
…01111011100001
312202121111021011
410323131323201
5132132313303
612112300521
72022630622
oct473357341
9182544234
1082697953
1142754218
1223841741
1314196400
14ada9a49
1573d816d
hex4eddee1

82697953 has 6 divisors (see below), whose sum is σ = 89548854. Its totient is φ = 76336416.

The previous prime is 82697947. The next prime is 82697969. The reversal of 82697953 is 35979628.

It can be written as a sum of positive squares in 3 ways, for example, as 33489 + 82664464 = 183^2 + 9092^2 .

It is not a de Polignac number, because 82697953 - 217 = 82566881 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82697897 and 82697906.

It is not an unprimeable number, because it can be changed into a prime (82697053) 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 5 ways as a sum of consecutive naturals, for example, 244500 + ... + 244837.

It is an arithmetic number, because the mean of its divisors is an integer number (14924809).

Almost surely, 282697953 is an apocalyptic number.

It is an amenable number.

82697953 is a deficient number, since it is larger than the sum of its proper divisors (6850901).

82697953 is a wasteful number, since it uses less digits than its factorization.

82697953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489363 (or 489350 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 82697953 is about 9093.8414875123. The cubic root of 82697953 is about 435.6772872898.

The spelling of 82697953 in words is "eighty-two million, six hundred ninety-seven thousand, nine hundred fifty-three".

Divisors: 1 13 169 489337 6361381 82697953