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5565648 = 2431183127
BaseRepresentation
bin10101001110110011010000
3101110202122010
4111032303100
52411100043
6315142520
765210244
oct25166320
911422563
105565648
113161610
121a44a40
1311cb3aa
14a4c424
1574e133
hex54ecd0

5565648 has 80 divisors (see below), whose sum is σ = 15998976. Its totient is φ = 1653120.

The previous prime is 5565643. The next prime is 5565667. The reversal of 5565648 is 8465655.

It is a super-3 number, since 3×55656483 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5565641) 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 15 ways as a sum of consecutive naturals, for example, 43761 + ... + 43887.

Almost surely, 25565648 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 5565648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999488).

5565648 is an abundant number, since it is smaller than the sum of its proper divisors (10433328).

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

5565648 is a wasteful number, since it uses less digits than its factorization.

5565648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 5565648 is about 2359.1625632838. The cubic root of 5565648 is about 177.2169448778.

It can be divided in two parts, 55 and 65648, that added together give a triangular number (65703 = T362).

The spelling of 5565648 in words is "five million, five hundred sixty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 127 132 166 176 249 254 264 332 381 498 508 528 664 762 913 996 1016 1328 1397 1524 1826 1992 2032 2739 2794 3048 3652 3984 4191 5478 5588 6096 7304 8382 10541 10956 11176 14608 16764 21082 21912 22352 31623 33528 42164 43824 63246 67056 84328 115951 126492 168656 231902 252984 347853 463804 505968 695706 927608 1391412 1855216 2782824 5565648