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448056 = 233272127
BaseRepresentation
bin1101101011000111000
3211202121200
41231120320
5103314211
613334200
73544200
oct1553070
9752550
10448056
112866a4
12197360
13128c2b
14b9400
158cb56
hex6d638

448056 has 72 divisors (see below), whose sum is σ = 1422720. Its totient is φ = 127008.

The previous prime is 448031. The next prime is 448057. The reversal of 448056 is 650844.

It is a tau number, because it is divible by the number of its divisors (72).

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 (448057) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3465 + ... + 3591.

It is an arithmetic number, because the mean of its divisors is an integer number (19760).

2448056 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 448056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711360).

448056 is an abundant number, since it is smaller than the sum of its proper divisors (974664).

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

448056 is a wasteful number, since it uses less digits than its factorization.

448056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 448056 is about 669.3698529214. The cubic root of 448056 is about 76.5204353967.

It can be divided in two parts, 44 and 8056, that added together give a square (8100 = 902).

The spelling of 448056 in words is "four hundred forty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 127 147 168 196 252 254 294 381 392 441 504 508 588 762 882 889 1016 1143 1176 1524 1764 1778 2286 2667 3048 3528 3556 4572 5334 6223 7112 8001 9144 10668 12446 16002 18669 21336 24892 32004 37338 49784 56007 64008 74676 112014 149352 224028 448056