Search a number
-
+
448938930 = 235114133181
BaseRepresentation
bin11010110000100…
…100001110110010
31011021202110102210
4122300210032302
51404412021210
6112314152550
714060626566
oct3260441662
91137673383
10448938930
11210461510
12106422756
1372017a4b
14438a36a6
152962de20
hex1ac243b2

448938930 has 64 divisors (see below), whose sum is σ = 1204108416. Its totient is φ = 106176000.

The previous prime is 448938929. The next prime is 448938961. The reversal of 448938930 is 39839844.

It is a self number, because there is not a number n which added to its sum of digits gives 448938930.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3061 + ... + 30120.

It is an arithmetic number, because the mean of its divisors is an integer number (18814194).

Almost surely, 2448938930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448938930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602054208).

448938930 is an abundant number, since it is smaller than the sum of its proper divisors (755169486).

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

448938930 is a wasteful number, since it uses less digits than its factorization.

448938930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33243.

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 448938930 is about 21188.1790156681. The cubic root of 448938930 is about 765.7066561915.

The spelling of 448938930 in words is "four hundred forty-eight million, nine hundred thirty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 55 66 82 110 123 165 205 246 330 410 451 615 902 1230 1353 2255 2706 4510 6765 13530 33181 66362 99543 165905 199086 331810 364991 497715 729982 995430 1094973 1360421 1824955 2189946 2720842 3649910 4081263 5474865 6802105 8162526 10949730 13604210 14964631 20406315 29929262 40812630 44893893 74823155 89787786 149646310 224469465 448938930