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85832065 = 51117412239
BaseRepresentation
bin1010001110110…
…11000110000001
312222111201110101
411013123012001
5133433111230
612303402401
72061363154
oct507330601
9188451411
1085832065
11444a49a0
12248b3401
1314a22b07
14b583c9b
157806aca
hex51db181

85832065 has 32 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 57292800.

The previous prime is 85832059. The next prime is 85832077. The reversal of 85832065 is 56023858.

It is not a de Polignac number, because 85832065 - 213 = 85823873 is a prime.

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, 37216 + ... + 39454.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 285832065 is an apocalyptic number.

85832065 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

85832065 is a deficient number, since it is larger than the sum of its proper divisors (36095615).

85832065 is a wasteful number, since it uses less digits than its factorization.

85832065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 85832065 is about 9264.5596225617. The cubic root of 85832065 is about 441.1129966529.

It can be divided in two parts, 8583 and 2065, that added together give a cube (10648 = 223).

The spelling of 85832065 in words is "eighty-five million, eight hundred thirty-two thousand, sixty-five".

Divisors: 1 5 11 17 41 55 85 187 205 451 697 935 2239 2255 3485 7667 11195 24629 38063 38335 91799 123145 190315 418693 458995 1009789 1560583 2093465 5048945 7802915 17166413 85832065