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85036446 = 23311143159
BaseRepresentation
bin1010001000110…
…00110110011110
312221000022002000
411010120312132
5133232131241
612234343130
72051540445
oct504306636
9187008060
1085036446
1144001160
122458aaa6
1314804931
14b417d5c
1576eaeb6
hex5118d9e

85036446 has 32 divisors (see below), whose sum is σ = 206150400. Its totient is φ = 25768440.

The previous prime is 85036421. The next prime is 85036453. The reversal of 85036446 is 64463058.

85036446 is a `hidden beast` number, since 8 + 5 + 0 + 3 + 644 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85036446.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 70986 + ... + 72173.

It is an arithmetic number, because the mean of its divisors is an integer number (6442200).

Almost surely, 285036446 is an apocalyptic number.

85036446 is an abundant number, since it is smaller than the sum of its proper divisors (121113954).

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

85036446 is a wasteful number, since it uses less digits than its factorization.

85036446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143181 (or 143175 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 85036446 is about 9221.5208073289. The cubic root of 85036446 is about 439.7458001399.

The spelling of 85036446 in words is "eighty-five million, thirty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 143159 286318 429477 858954 1288431 1574749 2576862 3149498 3865293 4724247 7730586 9448494 14172741 28345482 42518223 85036446