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9085000 = 23542379
BaseRepresentation
bin100010101010…
…000001001000
3122002120021111
4202222001020
54311210000
6522420104
7140135611
oct42520110
918076244
109085000
115145771
123061634
131b61252
1412c6c08
15be6cba
hex8aa048

9085000 has 80 divisors (see below), whose sum is σ = 22492800. Its totient is φ = 3432000.

The previous prime is 9084991. The next prime is 9085001. The reversal of 9085000 is 5809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9085001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114961 + ... + 115039.

It is an arithmetic number, because the mean of its divisors is an integer number (281160).

Almost surely, 29085000 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 9085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11246400).

9085000 is an abundant number, since it is smaller than the sum of its proper divisors (13407800).

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

9085000 is a wasteful number, since it uses less digits than its factorization.

9085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 9085000 is about 3014.1333746203. The cubic root of 9085000 is about 208.6611727207.

The spelling of 9085000 in words is "nine million, eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 79 92 100 115 125 158 184 200 230 250 316 395 460 500 575 625 632 790 920 1000 1150 1250 1580 1817 1975 2300 2500 2875 3160 3634 3950 4600 5000 5750 7268 7900 9085 9875 11500 14375 14536 15800 18170 19750 23000 28750 36340 39500 45425 49375 57500 72680 79000 90850 98750 115000 181700 197500 227125 363400 395000 454250 908500 1135625 1817000 2271250 4542500 9085000