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85113693 = 3373173199
BaseRepresentation
bin1010001001010…
…11101101011101
312221011020001000
411010223231131
5133242114233
612240140513
72052311610
oct504535535
9187136030
1085113693
11440541a5
1224607739
1314830b42
14b438177
157713d13
hex512bb5d

85113693 has 64 divisors (see below), whose sum is σ = 151552000. Its totient is φ = 46189440.

The previous prime is 85113667. The next prime is 85113703. The reversal of 85113693 is 39631158.

It is a happy number.

It is not a de Polignac number, because 85113693 - 26 = 85113629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85113493) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427608 + ... + 427806.

It is an arithmetic number, because the mean of its divisors is an integer number (2368000).

Almost surely, 285113693 is an apocalyptic number.

It is an amenable number.

85113693 is a deficient number, since it is larger than the sum of its proper divisors (66438307).

85113693 is a wasteful number, since it uses less digits than its factorization.

85113693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 85113693 is about 9225.7082654938. The cubic root of 85113693 is about 439.8789146839.

The spelling of 85113693 in words is "eighty-five million, one hundred thirteen thousand, six hundred ninety-three".

Divisors: 1 3 7 9 21 27 31 63 73 93 189 199 217 219 279 511 597 651 657 837 1393 1533 1791 1953 1971 2263 4179 4599 5373 5859 6169 6789 12537 13797 14527 15841 18507 20367 37611 43183 43581 47523 55521 61101 101689 129549 130743 142569 166563 305067 388647 392229 427707 450337 915201 1165941 1351011 2745603 3152359 4053033 9457077 12159099 28371231 85113693