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512768288 = 2540032
BaseRepresentation
bin11110100100000…
…011100100100000
31022201212022212002
4132210003210200
52022232041123
6122514223132
715464313164
oct3644034440
91281768762
10512768288
1124349844a
12123884aa8
13823059b6
144c15aca4
153003b528
hex1e903920

512768288 has 18 divisors (see below), whose sum is σ = 1009764819. Its totient is φ = 256320096.

The previous prime is 512768251. The next prime is 512768309. The reversal of 512768288 is 882867215.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 256384144 + 256384144 = 16012^2 + 16012^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=16012.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 126095 + ... + 130097.

Almost surely, 2512768288 is an apocalyptic number.

It is an amenable number.

512768288 is a deficient number, since it is larger than the sum of its proper divisors (496996531).

512768288 is an frugal number, since it uses more digits than its factorization.

512768288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016 (or 4005 counting only the distinct ones).

The product of its digits is 430080, while the sum is 47.

The square root of 512768288 is about 22644.3875607180. The cubic root of 512768288 is about 800.3999500167.

The spelling of 512768288 in words is "five hundred twelve million, seven hundred sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 4003 8006 16012 32024 64048 128096 16024009 32048018 64096036 128192072 256384144 512768288