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85363806 = 23112307383
BaseRepresentation
bin1010001011010…
…00110001011110
312221121221010110
411011220301132
5133323120211
612245350450
72054403033
oct505506136
9187557113
1085363806
1144205100
1224708426
13148ba938
14b4a138a
157762ea6
hex5168c5e

85363806 has 48 divisors (see below), whose sum is σ = 188762112. Its totient is φ = 25716240.

The previous prime is 85363793. The next prime is 85363807. The reversal of 85363806 is 60836358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85363807) 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 23 ways as a sum of consecutive naturals, for example, 222691 + ... + 223073.

It is an arithmetic number, because the mean of its divisors is an integer number (3932544).

Almost surely, 285363806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85363806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94381056).

85363806 is an abundant number, since it is smaller than the sum of its proper divisors (103398306).

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

85363806 is a wasteful number, since it uses less digits than its factorization.

85363806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 85363806 is about 9239.2535412770. The cubic root of 85363806 is about 440.3093657660.

The spelling of 85363806 in words is "eighty-five million, three hundred sixty-three thousand, eight hundred six".

Divisors: 1 2 3 6 11 22 33 66 121 242 307 363 383 614 726 766 921 1149 1842 2298 3377 4213 6754 8426 10131 12639 20262 25278 37147 46343 74294 92686 111441 117581 139029 222882 235162 278058 352743 705486 1293391 2586782 3880173 7760346 14227301 28454602 42681903 85363806