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663645440 = 285518473
BaseRepresentation
bin100111100011100…
…110110100000000
31201020202200101202
4213203212310000
52324343123230
6145504120332
722305615233
oct4743466400
91636680352
10663645440
11310679707
121663060a8
13a7650c13
14641d341a
153d3e0a45
hex278e6d00

663645440 has 36 divisors (see below), whose sum is σ = 1589641284. Its totient is φ = 265457664.

The previous prime is 663645419. The next prime is 663645457. The reversal of 663645440 is 44546366.

It is a happy number.

663645440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 331531264 + 332114176 = 18208^2 + 18224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 663645394 and 663645403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 257957 + ... + 260516.

Almost surely, 2663645440 is an apocalyptic number.

It is an amenable number.

663645440 is an abundant number, since it is smaller than the sum of its proper divisors (925995844).

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

663645440 is an equidigital number, since it uses as much as digits as its factorization.

663645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518494 (or 518480 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The square root of 663645440 is about 25761.3167365335. The cubic root of 663645440 is about 872.2588239351.

The spelling of 663645440 in words is "six hundred sixty-three million, six hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 518473 1036946 2073892 2592365 4147784 5184730 8295568 10369460 16591136 20738920 33182272 41477840 66364544 82955680 132729088 165911360 331822720 663645440