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5584896 = 21133101
BaseRepresentation
bin10101010011100000000000
3101111202001000
4111103200000
52412204041
6315412000
765320332
oct25234000
911452030
105584896
113175019
121a54000
131207095
14a55452
15754bb6
hex553800

5584896 has 96 divisors (see below), whose sum is σ = 16707600. Its totient is φ = 1843200.

The previous prime is 5584889. The next prime is 5584903. The reversal of 5584896 is 6984855.

5584896 is a `hidden beast` number, since 558 + 4 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (5584889) and next prime (5584903).

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55246 + ... + 55346.

Almost surely, 25584896 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 5584896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800).

5584896 is an abundant number, since it is smaller than the sum of its proper divisors (11122704).

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

5584896 is a wasteful number, since it uses less digits than its factorization.

5584896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 5584896 is about 2363.2384560175. The cubic root of 5584896 is about 177.4210030011.

The spelling of 5584896 in words is "five million, five hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 128 144 192 202 216 256 288 303 384 404 432 512 576 606 768 808 864 909 1024 1152 1212 1536 1616 1728 1818 2048 2304 2424 2727 3072 3232 3456 3636 4608 4848 5454 6144 6464 6912 7272 9216 9696 10908 12928 13824 14544 18432 19392 21816 25856 27648 29088 38784 43632 51712 55296 58176 77568 87264 103424 116352 155136 174528 206848 232704 310272 349056 465408 620544 698112 930816 1396224 1861632 2792448 5584896