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85657720 = 2354349801
BaseRepresentation
bin1010001101100…
…00100001111000
312222011212022011
411012300201320
5133412021340
612255535304
72060035651
oct506604170
9188155264
1085657720
1144395a05
122482a534
1314991655
14b53a528
1577c00ea
hex51b0878

85657720 has 32 divisors (see below), whose sum is σ = 197215920. Its totient is φ = 33465600.

The previous prime is 85657711. The next prime is 85657721. The reversal of 85657720 is 2775658.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85657721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23181 + ... + 26620.

Almost surely, 285657720 is an apocalyptic number.

It is an amenable number.

85657720 is an abundant number, since it is smaller than the sum of its proper divisors (111558200).

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

85657720 is a wasteful number, since it uses less digits than its factorization.

85657720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49855 (or 49851 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 85657720 is about 9255.1455958294. The cubic root of 85657720 is about 440.8141263124.

The spelling of 85657720 in words is "eighty-five million, six hundred fifty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 49801 99602 199204 249005 398408 498010 996020 1992040 2141443 4282886 8565772 10707215 17131544 21414430 42828860 85657720