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85893635 = 5109173911
BaseRepresentation
bin1010001111010…
…10001000000011
312222121211220202
411013222020003
5133442044020
612304555415
72062040522
oct507521003
9188554822
1085893635
1144537183
1224922b6b
1314a44b49
14b59c4b9
157819e75
hex51ea203

85893635 has 16 divisors (see below), whose sum is σ = 104734080. Its totient is φ = 67616640.

The previous prime is 85893617. The next prime is 85893637. The reversal of 85893635 is 53639858.

It is a happy number.

It is not a de Polignac number, because 85893635 - 224 = 69116419 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85893635.

It is not an unprimeable number, because it can be changed into a prime (85893637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93830 + ... + 94740.

It is an arithmetic number, because the mean of its divisors is an integer number (6545880).

Almost surely, 285893635 is an apocalyptic number.

85893635 is a deficient number, since it is larger than the sum of its proper divisors (18840445).

85893635 is a wasteful number, since it uses less digits than its factorization.

85893635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198.

The product of its digits is 777600, while the sum is 47.

The square root of 85893635 is about 9267.8819047288. The cubic root of 85893635 is about 441.2184461168.

It can be divided in two parts, 85 and 893635, that multiplied together give a triangular number (75958975 = T12325).

The spelling of 85893635 in words is "eighty-five million, eight hundred ninety-three thousand, six hundred thirty-five".

Divisors: 1 5 109 173 545 865 911 4555 18857 94285 99299 157603 496495 788015 17178727 85893635