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900000985 = 51339734877
BaseRepresentation
bin110101101001001…
…110110011011001
32022201111210020211
4311221032303121
53320400012420
6225150051121
731205611402
oct6551166331
92281453224
10900000985
11422033074
122114a9aa1
131145c6c80
148775a9a9
155402be5a
hex35a4ecd9

900000985 has 16 divisors (see below), whose sum is σ = 1166041296. Its totient is φ = 662923008.

The previous prime is 900000973. The next prime is 900001007. The reversal of 900000985 is 589000009.

It can be written as a sum of positive squares in 8 ways, for example, as 1140624 + 898860361 = 1068^2 + 29981^2 .

It is a cyclic number.

It is not a de Polignac number, because 900000985 - 211 = 899998937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8367 + ... + 43243.

It is an arithmetic number, because the mean of its divisors is an integer number (72877581).

Almost surely, 2900000985 is an apocalyptic number.

It is an amenable number.

900000985 is a deficient number, since it is larger than the sum of its proper divisors (266040311).

900000985 is a wasteful number, since it uses less digits than its factorization.

900000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35292.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 900000985 is about 30000.0164166622. The cubic root of 900000985 is about 965.4897368303.

The spelling of 900000985 in words is "nine hundred million, nine hundred eighty-five", and thus it is an aban number.

Divisors: 1 5 13 65 397 1985 5161 25805 34877 174385 453401 2267005 13846169 69230845 180000197 900000985