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900475009 = 7223337877
BaseRepresentation
bin110101101011000…
…010100010000001
32022202101212111021
4311223002202001
53321010200014
6225204145441
731212624400
oct6553024201
92282355437
10900475009
11422327225
12211698281
13114731965
1487841637
15540c2624
hex35ac2881

900475009 has 12 divisors (see below), whose sum is σ = 1048073364. Its totient is φ = 771406944.

The previous prime is 900474973. The next prime is 900475013. The reversal of 900475009 is 900574009.

It can be written as a sum of positive squares in 2 ways, for example, as 216913984 + 683561025 = 14728^2 + 26145^2 .

It is a de Polignac number, because none of the positive numbers 2k-900475009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900475019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110379 + ... + 118255.

It is an arithmetic number, because the mean of its divisors is an integer number (87339447).

Almost surely, 2900475009 is an apocalyptic number.

It is an amenable number.

900475009 is a deficient number, since it is larger than the sum of its proper divisors (147598355).

900475009 is a wasteful number, since it uses less digits than its factorization.

900475009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10224 (or 10217 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 900475009 is about 30007.9157723425. The cubic root of 900475009 is about 965.6592125637.

The spelling of 900475009 in words is "nine hundred million, four hundred seventy-five thousand, nine".

Divisors: 1 7 49 2333 7877 16331 55139 114317 385973 18377041 128639287 900475009