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85785817 = 13194143197
BaseRepresentation
bin1010001110011…
…11110011011001
312222102101000111
411013033303121
5133430121232
612302404321
72061111265
oct507176331
9188371014
1085785817
1144473177
12248906a1
1314a07a50
14b5710a5
1577e8047
hex51cfcd9

85785817 has 32 divisors (see below), whose sum is σ = 102453120. Its totient is φ = 71124480.

The previous prime is 85785811. The next prime is 85785827. The reversal of 85785817 is 71858758.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85785817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85785811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435363 + ... + 435559.

It is an arithmetic number, because the mean of its divisors is an integer number (3201660).

Almost surely, 285785817 is an apocalyptic number.

It is an amenable number.

85785817 is a deficient number, since it is larger than the sum of its proper divisors (16667303).

85785817 is a wasteful number, since it uses less digits than its factorization.

85785817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its digits is 627200, while the sum is 49.

The square root of 85785817 is about 9262.0633230399. The cubic root of 85785817 is about 441.0337556410.

The spelling of 85785817 in words is "eighty-five million, seven hundred eighty-five thousand, eight hundred seventeen".

Divisors: 1 13 19 41 43 197 247 533 559 779 817 1763 2561 3743 8077 8471 10127 10621 22919 33497 48659 105001 110123 153463 160949 347311 435461 1995019 2092337 4515043 6598909 85785817