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85312050 = 23524712101
BaseRepresentation
bin1010001010111…
…00001000110010
312221112022010120
411011130020302
5133314441200
612244311110
72054066115
oct505341062
9187468116
1085312050
114417a22a
12246a2496
13148a0205
14b48a57c
1577529a0
hex515c232

85312050 has 48 divisors (see below), whose sum is σ = 216093312. Its totient is φ = 22264000.

The previous prime is 85312049. The next prime is 85312057. The reversal of 85312050 is 5021358.

It is a self number, because there is not a number n which added to its sum of digits gives 85312050.

It is not an unprimeable number, because it can be changed into a prime (85312057) 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 23 ways as a sum of consecutive naturals, for example, 1000 + ... + 13100.

It is an arithmetic number, because the mean of its divisors is an integer number (4501944).

Almost surely, 285312050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85312050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108046656).

85312050 is an abundant number, since it is smaller than the sum of its proper divisors (130781262).

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

85312050 is a wasteful number, since it uses less digits than its factorization.

85312050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12163 (or 12158 counting only the distinct ones).

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

The square root of 85312050 is about 9236.4522409852. The cubic root of 85312050 is about 440.2203613830.

The spelling of 85312050 in words is "eighty-five million, three hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3525 7050 12101 24202 36303 60505 72606 121010 181515 302525 363030 568747 605050 907575 1137494 1706241 1815150 2843735 3412482 5687470 8531205 14218675 17062410 28437350 42656025 85312050