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5705568 = 2532111801
BaseRepresentation
bin10101110000111101100000
3101201212120100
4111300331200
52430034233
6322142400
766332211
oct25607540
911655510
105705568
113247750
121ab1a00
131249c9b
14a87408
1577a813
hex570f60

5705568 has 72 divisors (see below), whose sum is σ = 17710056. Its totient is φ = 1728000.

The previous prime is 5705543. The next prime is 5705569. The reversal of 5705568 is 8655075.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5705569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2268 + ... + 4068.

It is an arithmetic number, because the mean of its divisors is an integer number (245973).

Almost surely, 25705568 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 5705568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8855028).

5705568 is an abundant number, since it is smaller than the sum of its proper divisors (12004488).

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

5705568 is a wasteful number, since it uses less digits than its factorization.

5705568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5705568 is about 2388.6330819111. The cubic root of 5705568 is about 178.6897447974.

The spelling of 5705568 in words is "five million, seven hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1801 3168 3602 5403 7204 10806 14408 16209 19811 21612 28816 32418 39622 43224 57632 59433 64836 79244 86448 118866 129672 158488 172896 178299 237732 259344 316976 356598 475464 518688 633952 713196 950928 1426392 1901856 2852784 5705568