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5649984 = 263217577
BaseRepresentation
bin10101100011011001000000
3101122001022200
4111203121000
52421244414
6321033200
766011154
oct25433100
911561280
105649984
113209a0a
121a85800
13122a8b2
14a71064
15769109
hex563640

5649984 has 84 divisors (see below), whose sum is σ = 17177004. Its totient is φ = 1769472.

The previous prime is 5649977. The next prime is 5649997. The reversal of 5649984 is 4899465.

It is a happy number.

5649984 is a `hidden beast` number, since 564 + 9 + 9 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 451584 = 2280^2 + 672^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9504 + ... + 10080.

Almost surely, 25649984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588502).

5649984 is an abundant number, since it is smaller than the sum of its proper divisors (11527020).

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

5649984 is a wasteful number, since it uses less digits than its factorization.

5649984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 599 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 5649984 is about 2376.9694991733. The cubic root of 5649984 is about 178.1075813069.

The spelling of 5649984 in words is "five million, six hundred forty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 577 612 816 1088 1154 1224 1632 1731 2308 2448 3264 3462 4616 4896 5193 6924 9232 9792 9809 10386 13848 18464 19618 20772 27696 29427 36928 39236 41544 55392 58854 78472 83088 88281 110784 117708 156944 166176 176562 235416 313888 332352 353124 470832 627776 706248 941664 1412496 1883328 2824992 5649984