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575904004 = 22134712
BaseRepresentation
bin100010010100111…
…001100100000100
31111010122221202221
4202110321210010
52134412412004
6133051342124
720162050264
oct4224714404
91433587687
10575904004
112760a0225
12140a51944
1392410000
14566b37a4
153585d354
hex22539904

575904004 has 45 divisors (see below), whose sum is σ = 1107409331. Its totient is φ = 262058160.

The previous prime is 575903971. The next prime is 575904047. The reversal of 575904004 is 400409575.

The square root of 575904004 is 23998.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 285542404 + 290361600 = 16898^2 + 17040^2 .

It is a super-3 number, since 3×5759040043 (a number of 27 digits) contains 333 as substring.

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 14 ways as a sum of consecutive naturals, for example, 8111289 + ... + 8111359.

Almost surely, 2575904004 is an apocalyptic number.

575904004 is the 23998-th square number.

It is an amenable number.

575904004 is a deficient number, since it is larger than the sum of its proper divisors (531505327).

575904004 is an frugal number, since it uses more digits than its factorization.

575904004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The cubic root of 575904004 is about 831.9873044938.

The spelling of 575904004 in words is "five hundred seventy-five million, nine hundred four thousand, four".

Divisors: 1 2 4 13 26 52 71 142 169 284 338 676 923 1846 2197 3692 4394 5041 8788 10082 11999 20164 23998 28561 47996 57122 65533 114244 131066 155987 262132 311974 623948 851929 1703858 2027831 3407716 4055662 8111324 11075077 22150154 44300308 143976001 287952002 575904004