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85845969 = 3211867131
BaseRepresentation
bin1010001110111…
…10011111010001
312222112102112100
411013132133101
5133434032334
612303551013
72061451536
oct507363721
9188472470
1085845969
1144504390
12248bb469
1314a29241
14b588d8d
15780ac99
hex51de7d1

85845969 has 12 divisors (see below), whose sum is σ = 135272592. Its totient is φ = 52027800.

The previous prime is 85845943. The next prime is 85845979. The reversal of 85845969 is 96954858.

It is a happy number.

85845969 is a `hidden beast` number, since 8 + 584 + 59 + 6 + 9 = 666.

It is not a de Polignac number, because 85845969 - 211 = 85843921 is a prime.

It is a super-2 number, since 2×858459692 = 14739060787097922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85845979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433467 + ... + 433664.

It is an arithmetic number, because the mean of its divisors is an integer number (11272716).

Almost surely, 285845969 is an apocalyptic number.

It is an amenable number.

85845969 is a deficient number, since it is larger than the sum of its proper divisors (49426623).

85845969 is a wasteful number, since it uses less digits than its factorization.

85845969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867148 (or 867145 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 85845969 is about 9265.3099786246. The cubic root of 85845969 is about 441.1368141076.

Subtracting 85845969 from its reverse (96954858), we obtain a square (11108889 = 33332).

The spelling of 85845969 in words is "eighty-five million, eight hundred forty-five thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 33 99 867131 2601393 7804179 9538441 28615323 85845969