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85453641 = 327131031013
BaseRepresentation
bin1010001011111…
…10101101001001
312221210111100200
411011332231021
5133334004031
612251322413
72055225660
oct505765511
9187714320
1085453641
1144266649
1224750409
131491c7b0
14b4c5dd7
15777e8e6
hex517eb49

85453641 has 48 divisors (see below), whose sum is σ = 153543936. Its totient is φ = 44592768.

The previous prime is 85453637. The next prime is 85453663. The reversal of 85453641 is 14635458.

It is a happy number.

85453641 is a `hidden beast` number, since 8 + 5 + 4 + 5 + 3 + 641 = 666.

It is not a de Polignac number, because 85453641 - 22 = 85453637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85453596 and 85453605.

It is not an unprimeable number, because it can be changed into a prime (85453631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83851 + ... + 84863.

It is an arithmetic number, because the mean of its divisors is an integer number (3198832).

Almost surely, 285453641 is an apocalyptic number.

It is an amenable number.

85453641 is a deficient number, since it is larger than the sum of its proper divisors (68090295).

85453641 is a wasteful number, since it uses less digits than its factorization.

85453641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1139 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85453641 is about 9244.1138569362. The cubic root of 85453641 is about 440.4637689265.

The spelling of 85453641 in words is "eighty-five million, four hundred fifty-three thousand, six hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 103 117 273 309 721 819 927 1013 1339 2163 3039 4017 6489 7091 9117 9373 12051 13169 21273 28119 39507 63819 84357 92183 104339 118521 276549 313017 730373 829647 939051 1356407 2191119 4069221 6573357 9494849 12207663 28484547 85453641