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5565664 = 251317787
BaseRepresentation
bin10101001110110011100000
3101110202122201
4111032303200
52411100124
6315142544
765210266
oct25166340
911422581
105565664
113161625
121a44a54
1311cb3c0
14a4c436
1574e144
hex54ece0

5565664 has 48 divisors (see below), whose sum is σ = 12510288. Its totient is φ = 2414592.

The previous prime is 5565643. The next prime is 5565667. The reversal of 5565664 is 4665655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5565667) 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 7 ways as a sum of consecutive naturals, for example, 6679 + ... + 7465.

It is an arithmetic number, because the mean of its divisors is an integer number (260631).

Almost surely, 25565664 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 5565664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255144).

5565664 is an abundant number, since it is smaller than the sum of its proper divisors (6944624).

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

5565664 is a wasteful number, since it uses less digits than its factorization.

5565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 819 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The square root of 5565664 is about 2359.1659543152. The cubic root of 5565664 is about 177.2171146974.

Subtracting from 5565664 its reverse (4665655), we obtain a palindrome (900009).

The spelling of 5565664 in words is "five million, five hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 787 884 1574 1768 3148 3536 6296 7072 10231 12592 13379 20462 25184 26758 40924 53516 81848 107032 163696 173927 214064 327392 347854 428128 695708 1391416 2782832 5565664