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448112 = 2474001
BaseRepresentation
bin1101101011001110000
3211202200202
41231121300
5103314422
613334332
73544310
oct1553160
9752622
10448112
11286745
121973a8
13128c72
14b9440
158cb92
hex6d670

448112 has 20 divisors (see below), whose sum is σ = 992496. Its totient is φ = 192000.

The previous prime is 448111. The next prime is 448121. The reversal of 448112 is 211844.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1889 + ... + 2112.

2448112 is an apocalyptic number.

It is an amenable number.

448112 is an abundant number, since it is smaller than the sum of its proper divisors (544384).

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

448112 is a wasteful number, since it uses less digits than its factorization.

448112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4010 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 448112 is about 669.4116820014. The cubic root of 448112 is about 76.5236232169.

Adding to 448112 its reverse (211844), we get a palindrome (659956).

It can be divided in two parts, 448 and 112, that multiplied together give a square (50176 = 2242).

The spelling of 448112 in words is "four hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 4001 8002 16004 28007 32008 56014 64016 112028 224056 448112