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85643505 = 3257924091
BaseRepresentation
bin1010001101011…
…01000011110001
312222011010210200
411012231003301
5133411043010
612255345413
72056646343
oct506550361
9188133720
1085643505
1144386262
1224822269
131498803c
14b535293
1577bacc0
hex51ad0f1

85643505 has 24 divisors (see below), whose sum is σ = 150334080. Its totient is φ = 45096480.

The previous prime is 85643497. The next prime is 85643521. The reversal of 85643505 is 50534658.

85643505 is a `hidden beast` number, since 8 + 5 + 643 + 5 + 0 + 5 = 666.

It is not a de Polignac number, because 85643505 - 23 = 85643497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85643505.

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 23 ways as a sum of consecutive naturals, for example, 8491 + ... + 15600.

It is an arithmetic number, because the mean of its divisors is an integer number (6263920).

Almost surely, 285643505 is an apocalyptic number.

It is an amenable number.

85643505 is a deficient number, since it is larger than the sum of its proper divisors (64690575).

85643505 is a wasteful number, since it uses less digits than its factorization.

85643505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24181 (or 24178 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 85643505 is about 9254.3776127841. The cubic root of 85643505 is about 440.7897404214.

The spelling of 85643505 in words is "eighty-five million, six hundred forty-three thousand, five hundred five".

Divisors: 1 3 5 9 15 45 79 237 395 711 1185 3555 24091 72273 120455 216819 361365 1084095 1903189 5709567 9515945 17128701 28547835 85643505