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85838535 = 355314353
BaseRepresentation
bin1010001110111…
…00101011000111
312222112001100000
411013130223013
5133433313120
612303452343
72061421056
oct507345307
9188461300
1085838535
11444a9842
12248b70b3
1314a25a43
14b58639d
157808990
hex51dcac7

85838535 has 96 divisors (see below), whose sum is σ = 166053888. Its totient is φ = 42456960.

The previous prime is 85838531. The next prime is 85838537. The reversal of 85838535 is 53583858.

85838535 is a `hidden beast` number, since 85 + 8 + 38 + 535 = 666.

It is not a de Polignac number, because 85838535 - 22 = 85838531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85838531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1619569 + ... + 1619621.

It is an arithmetic number, because the mean of its divisors is an integer number (1729728).

Almost surely, 285838535 is an apocalyptic number.

85838535 is a deficient number, since it is larger than the sum of its proper divisors (80215353).

85838535 is a wasteful number, since it uses less digits than its factorization.

85838535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 576000, while the sum is 45.

The square root of 85838535 is about 9264.9087960972. The cubic root of 85838535 is about 441.1240800376.

It can be divided in two parts, 8583853 and 5, that added together give a palindrome (8583858).

The spelling of 85838535 in words is "eighty-five million, eight hundred thirty-eight thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 27 31 43 45 53 81 93 129 135 155 159 215 243 265 279 387 405 465 477 645 795 837 1161 1215 1333 1395 1431 1643 1935 2279 2385 2511 3483 3999 4185 4293 4929 5805 6665 6837 7155 7533 8215 10449 11395 11997 12555 12879 14787 17415 19995 20511 21465 24645 34185 35991 37665 44361 52245 59985 61533 64395 70649 73935 102555 107973 133083 179955 184599 211947 221805 307665 323919 353245 399249 539865 553797 635841 665415 922995 1059735 1619595 1907523 1996245 2768985 3179205 5722569 9537615 17167707 28612845 85838535