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82586738 = 213372932
BaseRepresentation
bin1001110110000…
…10110001110010
312202101211201002
410323002301302
5132120233423
612110042002
72021655443
oct473026162
9182354632
1082586738
1142688703
12237a9302
13141578c0
14ad7b2ca
1573b5228
hex4ec2c72

82586738 has 24 divisors (see below), whose sum is σ = 137484228. Its totient is φ = 36960192.

The previous prime is 82586737. The next prime is 82586747. The reversal of 82586738 is 83768528.

It can be written as a sum of positive squares in 6 ways, for example, as 79263409 + 3323329 = 8903^2 + 1823^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82586692 and 82586701.

It is not an unprimeable number, because it can be changed into a prime (82586737) 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 11 ways as a sum of consecutive naturals, for example, 281720 + ... + 282012.

Almost surely, 282586738 is an apocalyptic number.

82586738 is a deficient number, since it is larger than the sum of its proper divisors (54897490).

82586738 is a wasteful number, since it uses less digits than its factorization.

82586738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 345 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 82586738 is about 9087.7245776927. The cubic root of 82586738 is about 435.4818951639.

The spelling of 82586738 in words is "eighty-two million, five hundred eighty-six thousand, seven hundred thirty-eight".

Divisors: 1 2 13 26 37 74 293 481 586 962 3809 7618 10841 21682 85849 140933 171698 281866 1116037 2232074 3176413 6352826 41293369 82586738