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85218750 = 23356101
BaseRepresentation
bin1010001010001…
…01010110111110
312221100120011000
411011011112332
5133304000000
612242311130
72053230111
oct505052676
9187316130
1085218750
1144116121
12246584a6
13148698c6
14b464578
157735000
hex51455be

85218750 has 112 divisors (see below), whose sum is σ = 239059440. Its totient is φ = 22500000.

The previous prime is 85218737. The next prime is 85218761. The reversal of 85218750 is 5781258.

85218750 is a `hidden beast` number, since 8 + 521 + 87 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 843700 + ... + 843800.

Almost surely, 285218750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85218750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119529720).

85218750 is an abundant number, since it is smaller than the sum of its proper divisors (153840690).

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

85218750 is an equidigital number, since it uses as much as digits as its factorization.

85218750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 85218750 is about 9231.4002188184. The cubic root of 85218750 is about 440.0598231332.

It can be divided in two parts, 8521 and 8750, that added together give a palindrome (17271).

The spelling of 85218750 in words is "eighty-five million, two hundred eighteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 101 125 135 150 202 225 250 270 303 375 450 505 606 625 675 750 909 1010 1125 1250 1350 1515 1818 1875 2250 2525 2727 3030 3125 3375 3750 4545 5050 5454 5625 6250 6750 7575 9090 9375 11250 12625 13635 15150 15625 16875 18750 22725 25250 27270 28125 31250 33750 37875 45450 46875 56250 63125 68175 75750 84375 93750 113625 126250 136350 140625 168750 189375 227250 281250 315625 340875 378750 421875 568125 631250 681750 843750 946875 1136250 1578125 1704375 1893750 2840625 3156250 3408750 4734375 5681250 8521875 9468750 14203125 17043750 28406250 42609375 85218750