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850000368 = 243722911047
BaseRepresentation
bin110010101010011…
…111100111110000
32012020102111022010
4302222133213300
53220100002433
6220202242520
730030612120
oct6252374760
92166374263
10850000368
113a6891948
121b87b6440
1310713b4c9
1480c62c80
154e951e63
hex32a9f9f0

850000368 has 80 divisors (see below), whose sum is σ = 2520711680. Its totient is φ = 241774848.

The previous prime is 850000363. The next prime is 850000369. The reversal of 850000368 is 863000058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850000363) 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 15 ways as a sum of consecutive naturals, for example, 71421 + ... + 82467.

It is an arithmetic number, because the mean of its divisors is an integer number (31508896).

Almost surely, 2850000368 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 850000368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260355840).

850000368 is an abundant number, since it is smaller than the sum of its proper divisors (1670711312).

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

850000368 is a wasteful number, since it uses less digits than its factorization.

850000368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11294 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 850000368 is about 29154.7657853738. The cubic root of 850000368 is about 947.2683738897.

The spelling of 850000368 in words is "eight hundred fifty million, three hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 336 458 687 916 1374 1603 1832 2748 3206 3664 4809 5496 6412 9618 10992 11047 12824 19236 22094 25648 33141 38472 44188 66282 76944 77329 88376 132564 154658 176752 231987 265128 309316 463974 530256 618632 927948 1237264 1855896 2529763 3711792 5059526 7589289 10119052 15178578 17708341 20238104 30357156 35416682 40476208 53125023 60714312 70833364 106250046 121428624 141666728 212500092 283333456 425000184 850000368