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5566608 = 2432293143
BaseRepresentation
bin10101001111000010010000
3101110210221200
4111033002100
52411112413
6315151200
765213115
oct25170220
911423850
105566608
113162303
121a45500
1311cb968
14a4c90c
1574e573
hex54f090

5566608 has 120 divisors (see below), whose sum is σ = 17022720. Its totient is φ = 1693440.

The previous prime is 5566607. The next prime is 5566619. The reversal of 5566608 is 8066655.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (5566607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129435 + ... + 129477.

It is an arithmetic number, because the mean of its divisors is an integer number (141856).

Almost surely, 25566608 is an apocalyptic number.

5566608 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5566608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511360).

5566608 is an abundant number, since it is smaller than the sum of its proper divisors (11456112).

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

5566608 is a wasteful number, since it uses less digits than its factorization.

5566608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5566608 is about 2359.3660165392. The cubic root of 5566608 is about 177.2271334780.

The spelling of 5566608 in words is "five million, five hundred sixty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 31 36 43 48 58 62 72 86 87 93 116 124 129 144 172 174 186 232 248 258 261 279 344 348 372 387 464 496 516 522 558 688 696 744 774 899 1032 1044 1116 1247 1333 1392 1488 1548 1798 2064 2088 2232 2494 2666 2697 3096 3596 3741 3999 4176 4464 4988 5332 5394 6192 7192 7482 7998 8091 9976 10664 10788 11223 11997 14384 14964 15996 16182 19952 21328 21576 22446 23994 29928 31992 32364 38657 43152 44892 47988 59856 63984 64728 77314 89784 95976 115971 129456 154628 179568 191952 231942 309256 347913 463884 618512 695826 927768 1391652 1855536 2783304 5566608