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82494336 = 2731712637
BaseRepresentation
bin1001110101011…
…00001110000000
312202020010221210
410322230032000
5132104304321
612104050120
72021122161
oct472541600
9182203853
1082494336
1142625241
1223763940
1314124822
14ad55768
157397b76
hex4eac380

82494336 has 64 divisors (see below), whose sum is σ = 232033680. Its totient is φ = 25878528.

The previous prime is 82494323. The next prime is 82494389. The reversal of 82494336 is 63349428.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 82494294 and 82494303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210 + ... + 12846.

Almost surely, 282494336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116016840).

82494336 is an abundant number, since it is smaller than the sum of its proper divisors (149539344).

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

82494336 is a wasteful number, since it uses less digits than its factorization.

82494336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12671 (or 12659 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 82494336 is about 9082.6392640025. The cubic root of 82494336 is about 435.3194218837.

The spelling of 82494336 in words is "eighty-two million, four hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 12637 25274 37911 50548 75822 101096 151644 202192 214829 303288 404384 429658 606576 644487 808768 859316 1213152 1288974 1617536 1718632 2426304 2577948 3437264 4852608 5155896 6874528 10311792 13749056 20623584 27498112 41247168 82494336