Search a number
-
+
5566848 = 273719109
BaseRepresentation
bin10101001111000110000000
3101110211021120
4111033012000
52411114343
6315152240
765213610
oct25170600
911424246
105566848
113162501
121a45680
1311cbac1
14a4ca40
1574e683
hex54f180

5566848 has 128 divisors (see below), whose sum is σ = 17952000. Its totient is φ = 1492992.

The previous prime is 5566843. The next prime is 5566849. The reversal of 5566848 is 8486655.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5566843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51018 + ... + 51126.

It is an arithmetic number, because the mean of its divisors is an integer number (140250).

Almost surely, 25566848 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 5566848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976000).

5566848 is an abundant number, since it is smaller than the sum of its proper divisors (12385152).

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

5566848 is a wasteful number, since it uses less digits than its factorization.

5566848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 5566848 is about 2359.4168771118. The cubic root of 5566848 is about 177.2296804450.

The spelling of 5566848 in words is "five million, five hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 109 112 114 128 133 152 168 192 218 224 228 266 304 327 336 384 399 436 448 456 532 608 654 672 763 798 872 896 912 1064 1216 1308 1344 1526 1596 1744 1824 2071 2128 2289 2432 2616 2688 3052 3192 3488 3648 4142 4256 4578 5232 6104 6213 6384 6976 7296 8284 8512 9156 10464 12208 12426 12768 13952 14497 16568 17024 18312 20928 24416 24852 25536 28994 33136 36624 41856 43491 48832 49704 51072 57988 66272 73248 86982 97664 99408 115976 132544 146496 173964 198816 231952 265088 292992 347928 397632 463904 695856 795264 927808 1391712 1855616 2783424 5566848