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82307817 = 329145313
BaseRepresentation
bin1001110011111…
…10101011101001
312201212200002200
410321332223221
5132032322232
612100050413
72016414324
oct471765351
9181780080
1082307817
1142508099
1223693a09
131408a967
14ad077bb
15735c77c
hex4e7eae9

82307817 has 6 divisors (see below), whose sum is σ = 118889082. Its totient is φ = 54871872.

The previous prime is 82307801. The next prime is 82307833. The reversal of 82307817 is 71870328.

It is an interprime number because it is at equal distance from previous prime (82307801) and next prime (82307833).

It can be written as a sum of positive squares in only one way, i.e., 78481881 + 3825936 = 8859^2 + 1956^2 .

It is not a de Polignac number, because 82307817 - 24 = 82307801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82307417) 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, 4572648 + ... + 4572665.

It is an arithmetic number, because the mean of its divisors is an integer number (19814847).

Almost surely, 282307817 is an apocalyptic number.

It is an amenable number.

82307817 is a deficient number, since it is larger than the sum of its proper divisors (36581265).

82307817 is a wasteful number, since it uses less digits than its factorization.

82307817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145319 (or 9145316 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 82307817 is about 9072.3655680313. The cubic root of 82307817 is about 434.9910897897.

The spelling of 82307817 in words is "eighty-two million, three hundred seven thousand, eight hundred seventeen".

Divisors: 1 3 9 9145313 27435939 82307817