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448168 = 23753151
BaseRepresentation
bin1101101011010101000
3211202202211
41231122220
5103320133
613334504
73544420
oct1553250
9752684
10448168
11286796
12197434
13128cb6
14b9480
158cbcd
hex6d6a8

448168 has 32 divisors (see below), whose sum is σ = 984960. Its totient is φ = 187200.

The previous prime is 448159. The next prime is 448169. The reversal of 448168 is 861844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448169) by changing a digit.

448168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2893 + ... + 3043.

It is an arithmetic number, because the mean of its divisors is an integer number (30780).

2448168 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 448168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480).

448168 is an abundant number, since it is smaller than the sum of its proper divisors (536792).

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

448168 is a wasteful number, since it uses less digits than its factorization.

448168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 448168 is about 669.4535084679. The cubic root of 448168 is about 76.5268107715.

It can be divided in two parts, 448 and 168, that added together give a palindrome (616).

The spelling of 448168 in words is "four hundred forty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 106 151 212 302 371 424 604 742 1057 1208 1484 2114 2968 4228 8003 8456 16006 32012 56021 64024 112042 224084 448168