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82065328 = 24431011181
BaseRepresentation
bin1001110010000…
…11011110110000
312201102100110121
410321003132300
5132002042303
612050540024
72014354342
oct471033660
9181370417
1082065328
1142361994
1223597614
1314004487
14ac83292
1573109bd
hex4e437b0

82065328 has 40 divisors (see below), whose sum is σ = 164449296. Its totient is φ = 39648000.

The previous prime is 82065323. The next prime is 82065349. The reversal of 82065328 is 82356028.

It is a junction number, because it is equal to n+sod(n) for n = 82065293 and 82065302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82065323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68898 + ... + 70078.

Almost surely, 282065328 is an apocalyptic number.

It is an amenable number.

82065328 is an abundant number, since it is smaller than the sum of its proper divisors (82383968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82065328 is a wasteful number, since it uses less digits than its factorization.

82065328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 82065328 is about 9058.9915553554. The cubic root of 82065328 is about 434.5634904262.

The spelling of 82065328 in words is "eighty-two million, sixty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 43 86 101 172 202 344 404 688 808 1181 1616 2362 4343 4724 8686 9448 17372 18896 34744 50783 69488 101566 119281 203132 238562 406264 477124 812528 954248 1908496 5129083 10258166 20516332 41032664 82065328