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5641168 = 241337733
BaseRepresentation
bin10101100001001111010000
3101121121020011
4111201033100
52421004133
6320524304
765643361
oct25411720
911547204
105641168
113203325
121a80694
131226890
14a6bb68
157666cd
hex5613d0

5641168 has 40 divisors (see below), whose sum is σ = 12105128. Its totient is φ = 2529792.

The previous prime is 5641159. The next prime is 5641169. The reversal of 5641168 is 8611465.

5641168 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 3055504 = 1608^2 + 1748^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7330 + ... + 8062.

Almost surely, 25641168 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 5641168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052564).

5641168 is an abundant number, since it is smaller than the sum of its proper divisors (6463960).

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

5641168 is a wasteful number, since it uses less digits than its factorization.

5641168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 5641168 is about 2375.1143130384. The cubic root of 5641168 is about 178.0148958624.

The spelling of 5641168 in words is "five million, six hundred forty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 733 962 1466 1924 2932 3848 5864 7696 9529 11728 19058 27121 38116 54242 76232 108484 152464 216968 352573 433936 705146 1410292 2820584 5641168