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449307648 = 210345417
BaseRepresentation
bin11010110001111…
…110010000000000
31011022110012020000
4122301332100000
51410010321043
6112330120000
714064023556
oct3261762000
91138405200
10449307648
11210693539
12106580000
137211681a
144395bbd6
15296a32d3
hex1ac7e400

449307648 has 110 divisors (see below), whose sum is σ = 1341968166. Its totient is φ = 149741568.

The previous prime is 449307629. The next prime is 449307653. The reversal of 449307648 is 846703944.

It can be written as a sum of positive squares in only one way, i.e., 288728064 + 160579584 = 16992^2 + 12672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80236 + ... + 85652.

Almost surely, 2449307648 is an apocalyptic number.

449307648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449307648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670984083).

449307648 is an abundant number, since it is smaller than the sum of its proper divisors (892660518).

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

449307648 is an equidigital number, since it uses as much as digits as its factorization.

449307648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 449307648 is about 21196.8782607251. The cubic root of 449307648 is about 765.9162263207.

The spelling of 449307648 in words is "four hundred forty-nine million, three hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 5417 6912 9216 10368 10834 13824 16251 20736 21668 27648 32502 41472 43336 48753 65004 82944 86672 97506 130008 146259 173344 195012 260016 292518 346688 390024 438777 520032 585036 693376 780048 877554 1040064 1170072 1386752 1560096 1755108 2080128 2340144 2773504 3120192 3510216 4160256 4680288 5547008 6240384 7020432 8320512 9360576 12480768 14040864 16641024 18721152 24961536 28081728 37442304 49923072 56163456 74884608 112326912 149769216 224653824 449307648