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85805829 = 3285311177
BaseRepresentation
bin1010001110101…
…00101100000101
312222110101110200
411013110230011
5133431241304
612303041113
72061223524
oct507245405
9188411420
1085805829
114448720a
12248a0199
1314a13ba5
14b5784bb
1577ede39
hex51d4b05

85805829 has 12 divisors (see below), whose sum is σ = 124098156. Its totient is φ = 57131712.

The previous prime is 85805827. The next prime is 85805831. The reversal of 85805829 is 92850858.

It is an interprime number because it is at equal distance from previous prime (85805827) and next prime (85805831).

It can be written as a sum of positive squares in 2 ways, for example, as 37822500 + 47983329 = 6150^2 + 6927^2 .

It is not a de Polignac number, because 85805829 - 21 = 85805827 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85805827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2089 + ... + 13265.

It is an arithmetic number, because the mean of its divisors is an integer number (10341513).

Almost surely, 285805829 is an apocalyptic number.

It is an amenable number.

85805829 is a deficient number, since it is larger than the sum of its proper divisors (38292327).

85805829 is a wasteful number, since it uses less digits than its factorization.

85805829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12036 (or 12033 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 85805829 is about 9263.1435808801. The cubic root of 85805829 is about 441.0680475618.

The spelling of 85805829 in words is "eighty-five million, eight hundred five thousand, eight hundred twenty-nine".

Divisors: 1 3 9 853 2559 7677 11177 33531 100593 9533981 28601943 85805829