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82076617 = 7247157227
BaseRepresentation
bin1001110010001…
…10001111001001
312201102220221201
410321012033021
5132002422432
612051104201
72014432300
oct471061711
9181386851
1082076617
114236a417
12235a2061
131400965c
14ac87437
157313ee7
hex4e463c9

82076617 has 24 divisors (see below), whose sum is σ = 98561664. Its totient is φ = 68114592.

The previous prime is 82076587. The next prime is 82076633. The reversal of 82076617 is 71667028.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-82076617 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82076677) 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 23 ways as a sum of consecutive naturals, for example, 361458 + ... + 361684.

It is an arithmetic number, because the mean of its divisors is an integer number (4106736).

Almost surely, 282076617 is an apocalyptic number.

It is an amenable number.

82076617 is a deficient number, since it is larger than the sum of its proper divisors (16485047).

82076617 is a wasteful number, since it uses less digits than its factorization.

82076617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 82076617 is about 9059.6146165276. The cubic root of 82076617 is about 434.5834158621.

The spelling of 82076617 in words is "eighty-two million, seventy-six thousand, six hundred seventeen".

Divisors: 1 7 47 49 157 227 329 1099 1589 2303 7379 7693 10669 11123 35639 51653 74683 249473 361571 522781 1675033 1746311 11725231 82076617