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448804225 = 521922232
BaseRepresentation
bin11010110000000…
…011010110000001
31011021111121122201
4122300003112001
51404343213400
6112311233201
714056526062
oct3260032601
91137447581
10448804225
1121037a291
12106378801
1371c9b63c
144386a569
152960406a
hex1ac03581

448804225 has 27 divisors (see below), whose sum is σ = 589994883. Its totient is φ = 338621040.

The previous prime is 448804217. The next prime is 448804231. The reversal of 448804225 is 522408844.

The square root of 448804225 is 21185.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 161569521 + 287234704 = 12711^2 + 16948^2 .

It is not a de Polignac number, because 448804225 - 23 = 448804217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2012464 + ... + 2012686.

Almost surely, 2448804225 is an apocalyptic number.

448804225 is the 21185-th square number.

448804225 is the 10593-rd centered octagonal number.

It is an amenable number.

448804225 is a deficient number, since it is larger than the sum of its proper divisors (141190658).

448804225 is an equidigital number, since it uses as much as digits as its factorization.

448804225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The cubic root of 448804225 is about 765.6300646062.

The spelling of 448804225 in words is "four hundred forty-eight million, eight hundred four thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 223 361 475 1115 1805 4237 5575 9025 21185 49729 80503 105925 248645 402515 944851 1243225 2012575 4724255 17952169 23621275 89760845 448804225