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85676994 = 23313312127
BaseRepresentation
bin1010001101101…
…01001111000010
312222012211202000
411012311033002
5133413130434
612300204430
72060146104
oct506651702
9188184660
1085676994
11443a9437
1224839716
131499a360
14b543574
1577c5b99
hex51b53c2

85676994 has 96 divisors (see below), whose sum is σ = 213534720. Its totient is φ = 25310880.

The previous prime is 85676993. The next prime is 85677029. The reversal of 85676994 is 49967658.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 85676994.

It is not an unprimeable number, because it can be changed into a prime (85676993) 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 47 ways as a sum of consecutive naturals, for example, 674559 + ... + 674685.

It is an arithmetic number, because the mean of its divisors is an integer number (2224320).

Almost surely, 285676994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85676994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106767360).

85676994 is an abundant number, since it is smaller than the sum of its proper divisors (127857726).

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

85676994 is a wasteful number, since it uses less digits than its factorization.

85676994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 176 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 85676994 is about 9256.1867958679. The cubic root of 85676994 is about 440.8471866300.

The spelling of 85676994 in words is "eighty-five million, six hundred seventy-six thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 127 186 234 254 279 351 381 403 558 702 762 806 837 961 1143 1209 1651 1674 1922 2286 2418 2883 3302 3429 3627 3937 4953 5766 6858 7254 7874 8649 9906 10881 11811 12493 14859 17298 21762 23622 24986 25947 29718 35433 37479 44577 51181 51894 70866 74958 89154 102362 106299 112437 122047 153543 212598 224874 244094 307086 337311 366141 460629 674622 732282 921258 1098423 1381887 1586611 2196846 2763774 3173222 3295269 4759833 6590538 9519666 14279499 28558998 42838497 85676994