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85838922 = 232131943449
BaseRepresentation
bin1010001110111…
…00110001001010
312222112001212100
411013130301022
5133433321142
612303454230
72061422151
oct507346112
9188461770
1085838922
11444aa064
12248b7376
1314a25c80
14b586598
157808b4c
hex51dcc4a

85838922 has 96 divisors (see below), whose sum is σ = 216216000. Its totient is φ = 24385536.

The previous prime is 85838911. The next prime is 85838939. The reversal of 85838922 is 22983858.

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 47 ways as a sum of consecutive naturals, for example, 190954 + ... + 191402.

It is an arithmetic number, because the mean of its divisors is an integer number (2252250).

Almost surely, 285838922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85838922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108108000).

85838922 is an abundant number, since it is smaller than the sum of its proper divisors (130377078).

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

85838922 is a wasteful number, since it uses less digits than its factorization.

85838922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 529 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 85838922 is about 9264.9296813306. The cubic root of 85838922 is about 441.1247429674.

The spelling of 85838922 in words is "eighty-five million, eight hundred thirty-eight thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 43 57 78 86 114 117 129 171 234 247 258 342 387 449 494 559 741 774 817 898 1118 1347 1482 1634 1677 2223 2451 2694 3354 4041 4446 4902 5031 5837 7353 8082 8531 10062 10621 11674 14706 17062 17511 19307 21242 25593 31863 35022 38614 51186 52533 57921 63726 76779 95589 105066 110903 115842 153558 173763 191178 221806 250991 332709 347526 366833 501982 665418 733666 752973 998127 1100499 1505946 1996254 2200998 2258919 3301497 4517838 4768829 6602994 9537658 14306487 28612974 42919461 85838922