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404113664 = 281792857
BaseRepresentation
bin11000000101100…
…100100100000000
31001011102002201202
4120011210210000
51311423114124
6104033320332
713004623643
oct3005444400
91034362652
10404113664
11198125639
12b34060a8
1365951b16
143b955a5a
15257275ae
hex18164900

404113664 has 36 divisors (see below), whose sum is σ = 854107884. Its totient is φ = 190169088.

The previous prime is 404113639. The next prime is 404113691. The reversal of 404113664 is 466311404.

It can be written as a sum of positive squares in 2 ways, for example, as 365574400 + 38539264 = 19120^2 + 6208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42077 + ... + 50780.

It is an arithmetic number, because the mean of its divisors is an integer number (23725219).

Almost surely, 2404113664 is an apocalyptic number.

It is an amenable number.

404113664 is an abundant number, since it is smaller than the sum of its proper divisors (449994220).

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

404113664 is an equidigital number, since it uses as much as digits as its factorization.

404113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92890 (or 92876 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 404113664 is about 20102.5785410728. The cubic root of 404113664 is about 739.3235015378.

The spelling of 404113664 in words is "four hundred four million, one hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 92857 185714 371428 742856 1485712 1578569 2971424 3157138 5942848 6314276 11885696 12628552 23771392 25257104 50514208 101028416 202056832 404113664