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85321500 = 22353115171
BaseRepresentation
bin1010001010111…
…10011100011100
312221112210002120
411011132130130
5133320242000
612244422540
72054135505
oct505363434
9187483076
1085321500
1144186340
12246a7a50
13148a45c4
14b48dbac
1577556a0
hex515e71c

85321500 has 96 divisors (see below), whose sum is σ = 271095552. Its totient is φ = 20680000.

The previous prime is 85321499. The next prime is 85321529. The reversal of 85321500 is 512358.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13915 + ... + 19085.

It is an arithmetic number, because the mean of its divisors is an integer number (2823912).

Almost surely, 285321500 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 85321500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135547776).

85321500 is an abundant number, since it is smaller than the sum of its proper divisors (185774052).

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

85321500 is a wasteful number, since it uses less digits than its factorization.

85321500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 85321500 is about 9236.9637868728. The cubic root of 85321500 is about 440.2366151589.

Adding to 85321500 its reverse (512358), we get a palindrome (85833858).

The spelling of 85321500 in words is "eighty-five million, three hundred twenty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4125 5171 5500 8250 10342 15513 16500 20684 25855 31026 51710 56881 62052 77565 103420 113762 129275 155130 170643 227524 258550 284405 310260 341286 387825 517100 568810 646375 682572 775650 853215 1137620 1292750 1422025 1551300 1706430 1939125 2585500 2844050 3412860 3878250 4266075 5688100 7110125 7756500 8532150 14220250 17064300 21330375 28440500 42660750 85321500