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85603765 = 5131379613
BaseRepresentation
bin1010001101000…
…11010110110101
312222002010021211
411012203112311
5133403310030
612254441421
72056422442
oct506432665
9188063254
1085603765
1144359415
1224803271
1314972c20
14b5249c9
1577ae12a
hex51a35b5

85603765 has 16 divisors (see below), whose sum is σ = 111445488. Its totient is φ = 62747136.

The previous prime is 85603757. The next prime is 85603781. The reversal of 85603765 is 56730658.

It can be written as a sum of positive squares in 8 ways, for example, as 1661521 + 83942244 = 1289^2 + 9162^2 .

It is a cyclic number.

It is not a de Polignac number, because 85603765 - 23 = 85603757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4099 + ... + 13711.

It is an arithmetic number, because the mean of its divisors is an integer number (6965343).

Almost surely, 285603765 is an apocalyptic number.

It is an amenable number.

85603765 is a deficient number, since it is larger than the sum of its proper divisors (25841723).

85603765 is a wasteful number, since it uses less digits than its factorization.

85603765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9768.

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 85603765 is about 9252.2302716696. The cubic root of 85603765 is about 440.7215519683.

It can be divided in two parts, 85603 and 765, that added together give a palindrome (86368).

The spelling of 85603765 in words is "eighty-five million, six hundred three thousand, seven hundred sixty-five".

Divisors: 1 5 13 65 137 685 1781 8905 9613 48065 124969 624845 1316981 6584905 17120753 85603765