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82826676 = 22327331517
BaseRepresentation
bin1001110111111…
…01010110110100
312202212000211200
410323331112310
5132200423201
612115132500
72024005122
oct473752664
9182760750
1082826676
11428319a9
12238a4130
131420cb8a
14b000912
157411386
hex4efd5b4

82826676 has 36 divisors (see below), whose sum is σ = 212242212. Its totient is φ = 27229824.

The previous prime is 82826659. The next prime is 82826677. The reversal of 82826676 is 67662828.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26936100 + 55890576 = 5190^2 + 7476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82826677) 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 11 ways as a sum of consecutive naturals, for example, 13131 + ... + 18386.

It is an arithmetic number, because the mean of its divisors is an integer number (5895617).

Almost surely, 282826676 is an apocalyptic number.

It is an amenable number.

82826676 is an abundant number, since it is smaller than the sum of its proper divisors (129415536).

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

82826676 is a wasteful number, since it uses less digits than its factorization.

82826676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31600 (or 31595 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 82826676 is about 9100.9162176124. The cubic root of 82826676 is about 435.9032203900.

The spelling of 82826676 in words is "eighty-two million, eight hundred twenty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 31517 63034 94551 126068 189102 283653 378204 567306 1134612 2300741 4601482 6902223 9202964 13804446 20706669 27608892 41413338 82826676