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850386264 = 233713401971
BaseRepresentation
bin110010101011111…
…101110101011000
32012021011002122120
4302223331311120
53220144330024
6220214421240
730034110150
oct6253756530
92167132576
10850386264
113a7025872
121b8961820
13107245050
1480d23760
154e9cb479
hex32afdd58

850386264 has 128 divisors (see below), whose sum is σ = 2625799680. Its totient is φ = 223488000.

The previous prime is 850386259. The next prime is 850386353. The reversal of 850386264 is 462683058.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875299 + ... + 876269.

It is an arithmetic number, because the mean of its divisors is an integer number (20514060).

Almost surely, 2850386264 is an apocalyptic number.

850386264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850386264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312899840).

850386264 is an abundant number, since it is smaller than the sum of its proper divisors (1775413416).

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

850386264 is a wasteful number, since it uses less digits than its factorization.

850386264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 850386264 is about 29161.3830947711. The cubic root of 850386264 is about 947.4117039341.

The spelling of 850386264 in words is "eight hundred fifty million, three hundred eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 401 546 728 802 971 1092 1203 1604 1942 2184 2406 2807 2913 3208 3884 4812 5213 5614 5826 6797 7768 8421 9624 10426 11228 11652 12623 13594 15639 16842 20391 20852 22456 23304 25246 27188 31278 33684 36491 37869 40782 41704 50492 54376 62556 67368 72982 75738 81564 88361 100984 109473 125112 145964 151476 163128 176722 218946 265083 291928 302952 353444 389371 437892 530166 706888 778742 875784 1060332 1168113 1557484 2120664 2336226 2725597 3114968 4672452 5061823 5451194 8176791 9344904 10123646 10902388 15185469 16353582 20247292 21804776 30370938 32707164 35432761 40494584 60741876 65414328 70865522 106298283 121483752 141731044 212596566 283462088 425193132 850386264