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85937425 = 527231273
BaseRepresentation
bin1010001111101…
…00110100010001
312222201001222121
411013310310101
5133444444200
612305534241
72062312300
oct507646421
9188631877
1085937425
1144567072
1224944381
1314a5ba62
14b5b0437
157827e1a
hex51f4d11

85937425 has 54 divisors (see below), whose sum is σ = 129842694. Its totient is φ = 56246400.

The previous prime is 85937419. The next prime is 85937461. The reversal of 85937425 is 52473958.

It can be written as a sum of positive squares in 3 ways, for example, as 6780816 + 79156609 = 2604^2 + 8897^2 .

It is not a de Polignac number, because 85937425 - 27 = 85937297 is a prime.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 1177189 + ... + 1177261.

Almost surely, 285937425 is an apocalyptic number.

It is an amenable number.

85937425 is a deficient number, since it is larger than the sum of its proper divisors (43905269).

85937425 is a wasteful number, since it uses less digits than its factorization.

85937425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 116 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The square root of 85937425 is about 9270.2440636695. The cubic root of 85937425 is about 441.2934135394.

The spelling of 85937425 in words is "eighty-five million, nine hundred thirty-seven thousand, four hundred twenty-five".

Divisors: 1 5 7 25 31 35 49 73 155 175 217 245 365 511 775 961 1085 1225 1519 1825 2263 2555 3577 4805 5425 6727 7595 11315 12775 15841 17885 24025 33635 37975 47089 56575 70153 79205 89425 110887 168175 235445 350765 396025 491071 554435 1177225 1753825 2455355 2772175 3437497 12276775 17187485 85937425