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85959753 = 3117273583
BaseRepresentation
bin1010001111110…
…10010001001001
312222202012121120
411013322101021
5134001203003
612310225453
72062434345
oct507722111
9188665546
1085959753
1144581920
1224955289
1314a68c79
14b5b8625
15782e853
hex51fa449

85959753 has 16 divisors (see below), whose sum is σ = 125239296. Its totient is φ = 52010640.

The previous prime is 85959749. The next prime is 85959761. The reversal of 85959753 is 35795958.

It is not a de Polignac number, because 85959753 - 22 = 85959749 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85959696 and 85959705.

It is not an unprimeable number, because it can be changed into a prime (85959733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22200 + ... + 25782.

It is an arithmetic number, because the mean of its divisors is an integer number (7827456).

Almost surely, 285959753 is an apocalyptic number.

It is an amenable number.

85959753 is a deficient number, since it is larger than the sum of its proper divisors (39279543).

85959753 is a wasteful number, since it uses less digits than its factorization.

85959753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324.

The product of its digits is 1701000, while the sum is 51.

The square root of 85959753 is about 9271.4482687442. The cubic root of 85959753 is about 441.3316287335.

The spelling of 85959753 in words is "eighty-five million, nine hundred fifty-nine thousand, seven hundred fifty-three".

Divisors: 1 3 11 33 727 2181 3583 7997 10749 23991 39413 118239 2604841 7814523 28653251 85959753