Search a number
-
+
5648112 = 243261643
BaseRepresentation
bin10101100010111011110000
3101121221202100
4111202323300
52421214422
6321020400
766002541
oct25427360
911557670
105648112
113208568
121a84700
131229aa2
14a704c8
157687ac
hex562ef0

5648112 has 60 divisors (see below), whose sum is σ = 16090984. Its totient is φ = 1848960.

The previous prime is 5648077. The next prime is 5648117. The reversal of 5648112 is 2118465.

5648112 is a `hidden beast` number, since 5 + 648 + 1 + 12 = 666.

5648112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5648117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8463 + ... + 9105.

Almost surely, 25648112 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 5648112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045492).

5648112 is an abundant number, since it is smaller than the sum of its proper divisors (10442872).

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

5648112 is a wasteful number, since it uses less digits than its factorization.

5648112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 709 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5648112 is about 2376.5756878332. The cubic root of 5648112 is about 178.0879084357.

The spelling of 5648112 in words is "five million, six hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 643 732 976 1098 1286 1464 1929 2196 2572 2928 3858 4392 5144 5787 7716 8784 10288 11574 15432 23148 30864 39223 46296 78446 92592 117669 156892 235338 313784 353007 470676 627568 706014 941352 1412028 1882704 2824056 5648112