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5688576 = 2833823
BaseRepresentation
bin10101101100110100000000
3101201000021000
4111230310000
52424013301
6321532000
766231525
oct25546400
911630230
105688576
113235a03
121aa4000
13124232a
14a8114c
15775786
hex56cd00

5688576 has 72 divisors (see below), whose sum is σ = 16842560. Its totient is φ = 1893888.

The previous prime is 5688569. The next prime is 5688577. The reversal of 5688576 is 6758865.

5688576 is a `hidden beast` number, since 568 + 85 + 7 + 6 = 666.

5688576 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5688577) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6501 + ... + 7323.

Almost surely, 25688576 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 5688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421280).

5688576 is an abundant number, since it is smaller than the sum of its proper divisors (11153984).

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

5688576 is an equidigital number, since it uses as much as digits as its factorization.

5688576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 828 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5688576 is about 2385.0735837705. The cubic root of 5688576 is about 178.5121805119.

The spelling of 5688576 in words is "five million, six hundred eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 823 864 1152 1646 1728 2304 2469 3292 3456 4938 6584 6912 7407 9876 13168 14814 19752 22221 26336 29628 39504 44442 52672 59256 79008 88884 105344 118512 158016 177768 210688 237024 316032 355536 474048 632064 711072 948096 1422144 1896192 2844288 5688576