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850668 = 2237131941
BaseRepresentation
bin11001111101011101100
31121012220020
43033223230
5204210133
630122140
710142040
oct3175354
91535806
10850668
11531135
12350350
1323a270
14182020
1511c0b3
hexcfaec

850668 has 96 divisors (see below), whose sum is σ = 2634240. Its totient is φ = 207360.

The previous prime is 850637. The next prime is 850673. The reversal of 850668 is 866058.

850668 is nontrivially palindromic in base 11.

850668 is a nontrivial binomial coefficient, being equal to C(42, 5).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20728 + ... + 20768.

It is an arithmetic number, because the mean of its divisors is an integer number (27440).

2850668 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 850668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317120).

850668 is an abundant number, since it is smaller than the sum of its proper divisors (1783572).

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

850668 is a wasteful number, since it uses less digits than its factorization.

850668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 850668 is about 922.3166484456. The cubic root of 850668 is about 94.7516319340.

The spelling of 850668 in words is "eight hundred fifty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 41 42 52 57 76 78 82 84 91 114 123 133 156 164 182 228 246 247 266 273 287 364 399 492 494 532 533 546 574 741 779 798 861 988 1066 1092 1148 1482 1558 1596 1599 1722 1729 2132 2337 2964 3116 3198 3444 3458 3731 4674 5187 5453 6396 6916 7462 9348 10127 10374 10906 11193 14924 16359 20254 20748 21812 22386 30381 32718 40508 44772 60762 65436 70889 121524 141778 212667 283556 425334 850668