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85675716 = 223272172857
BaseRepresentation
bin1010001101101…
…00111011000100
312222012202222200
411012310323010
5133413110331
612300154500
72060142300
oct506647304
9188182880
1085675716
11443a8485
1224838a30
13149998b9
14b542d00
1577c55e6
hex51b4ec4

85675716 has 108 divisors (see below), whose sum is σ = 266840028. Its totient is φ = 23030784.

The previous prime is 85675697. The next prime is 85675717. The reversal of 85675716 is 61757658.

It can be written as a sum of positive squares in 2 ways, for example, as 62346816 + 23328900 = 7896^2 + 4830^2 .

It is a super-2 number, since 2×856757162 = 14680656624225312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85675717) 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 35 ways as a sum of consecutive naturals, for example, 28560 + ... + 31416.

It is an arithmetic number, because the mean of its divisors is an integer number (2470741).

Almost surely, 285675716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85675716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133420014).

85675716 is an abundant number, since it is smaller than the sum of its proper divisors (181164312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85675716 is a wasteful number, since it uses less digits than its factorization.

85675716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2886 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 85675716 is about 9256.1177607029. The cubic root of 85675716 is about 440.8449946549.

The spelling of 85675716 in words is "eighty-five million, six hundred seventy-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 2857 3332 4284 4998 5714 7497 8571 9996 11428 14994 17142 19999 25713 29988 34284 39998 48569 51426 59997 79996 97138 102852 119994 139993 145707 179991 194276 239988 279986 291414 339983 359982 419979 437121 559972 582828 679966 719964 839958 874242 1019949 1259937 1359932 1679916 1748484 2039898 2379881 2519874 3059847 4079796 4759762 5039748 6119694 7139643 9519524 12239388 14279286 21418929 28558572 42837858 85675716