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448096 = 25111967
BaseRepresentation
bin1101101011001100000
3211202200011
41231121200
5103314341
613334304
73544255
oct1553140
9752604
10448096
11286730
12197394
13128c5c
14b942c
158cb81
hex6d660

448096 has 48 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 190080.

The previous prime is 448093. The next prime is 448111. The reversal of 448096 is 690844.

448096 is digitally balanced in base 3, 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 (448093) 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, 6655 + ... + 6721.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2448096 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 448096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

448096 is an abundant number, since it is smaller than the sum of its proper divisors (580064).

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

448096 is a wasteful number, since it uses less digits than its factorization.

448096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 448096 is about 669.3997311024. The cubic root of 448096 is about 76.5227124382.

The spelling of 448096 in words is "four hundred forty-eight thousand, ninety-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 67 76 88 134 152 176 209 268 304 352 418 536 608 737 836 1072 1273 1474 1672 2144 2546 2948 3344 5092 5896 6688 10184 11792 14003 20368 23584 28006 40736 56012 112024 224048 448096