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5685568 = 267437
BaseRepresentation
bin10101101100000101000000
3101200212010121
4111230011000
52423414233
6321510024
766220000
oct25540500
911625117
105685568
113233719
121aa2314
131240b55
14a80000
1577492d
hex56c140

5685568 has 70 divisors (see below), whose sum is σ = 13517626. Its totient is φ = 2370816.

The previous prime is 5685557. The next prime is 5685569. The reversal of 5685568 is 8655865.

It can be written as a sum of positive squares in only one way, i.e., 5531904 + 153664 = 2352^2 + 392^2 .

It is a nialpdrome in base 7 and base 14.

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 (5685569) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153646 + ... + 153682.

Almost surely, 25685568 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 5685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6758813).

5685568 is an abundant number, since it is smaller than the sum of its proper divisors (7832058).

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

5685568 is an frugal number, since it uses more digits than its factorization.

5685568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its digits is 288000, while the sum is 43.

The square root of 5685568 is about 2384.4429118769. The cubic root of 5685568 is about 178.4807104620.

The spelling of 5685568 in words is "five million, six hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 148 196 224 259 296 343 392 448 518 592 686 784 1036 1184 1372 1568 1813 2072 2368 2401 2744 3136 3626 4144 4802 5488 7252 8288 9604 10976 12691 14504 16576 19208 21952 25382 29008 38416 50764 58016 76832 88837 101528 116032 153664 177674 203056 355348 406112 710696 812224 1421392 2842784 5685568