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85857500 = 225461563
BaseRepresentation
bin1010001111000…
…01010011011100
312222120000100102
411013201103130
5133434420000
612304120232
72061530261
oct507412334
9188500312
1085857500
1144512013
1224906078
1314a31571
14b58d268
15780e3d5
hex51e14dc

85857500 has 60 divisors (see below), whose sum is σ = 191170056. Its totient is φ = 33720000.

The previous prime is 85857481. The next prime is 85857511. The reversal of 85857500 is 575858.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 152219 + ... + 152781.

Almost surely, 285857500 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 85857500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95585028).

85857500 is an abundant number, since it is smaller than the sum of its proper divisors (105312556).

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

85857500 is a wasteful number, since it uses less digits than its factorization.

85857500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 38.

The square root of 85857500 is about 9265.9322250921. The cubic root of 85857500 is about 441.1565646792.

The spelling of 85857500 in words is "eighty-five million, eight hundred fifty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 563 610 625 1126 1220 1250 1525 2252 2500 2815 3050 5630 6100 7625 11260 14075 15250 28150 30500 34343 38125 56300 68686 70375 76250 137372 140750 152500 171715 281500 343430 351875 686860 703750 858575 1407500 1717150 3434300 4292875 8585750 17171500 21464375 42928750 85857500