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82094136 = 23319414391
BaseRepresentation
bin1001110010010…
…10100000111000
312201110210222120
410321022200320
5132004003021
612051321240
72014534335
oct471124070
9181423876
1082094136
11423815a3
12235b0220
1314014617
14ac8d98c
1573192c6
hex4e4a838

82094136 has 64 divisors (see below), whose sum is σ = 221356800. Its totient is φ = 25286400.

The previous prime is 82094119. The next prime is 82094143. The reversal of 82094136 is 63149028.

It is a junction number, because it is equal to n+sod(n) for n = 82094097 and 82094106.

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 15 ways as a sum of consecutive naturals, for example, 16501 + ... + 20891.

It is an arithmetic number, because the mean of its divisors is an integer number (3458700).

Almost surely, 282094136 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 82094136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110678400).

82094136 is an abundant number, since it is smaller than the sum of its proper divisors (139262664).

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

82094136 is a wasteful number, since it uses less digits than its factorization.

82094136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 82094136 is about 9060.5814382963. The cubic root of 82094136 is about 434.6143338244.

The spelling of 82094136 in words is "eighty-two million, ninety-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1558 2337 3116 4391 4674 6232 8782 9348 13173 17564 18696 26346 35128 52692 83429 105384 166858 180031 250287 333716 360062 500574 540093 667432 720124 1001148 1080186 1440248 2002296 2160372 3420589 4320744 6841178 10261767 13682356 20523534 27364712 41047068 82094136