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448442224 = 242310311831
BaseRepresentation
bin11010101110101…
…010111101110000
31011020211020002021
4122232222331300
51404300122344
6112255401224
714053460506
oct3256527560
91136736067
10448442224
1121015230a
12106223214
1371ba2939
14437b4676
1529581b84
hex1abaaf70

448442224 has 40 divisors (see below), whose sum is σ = 915512832. Its totient is φ = 212372160.

The previous prime is 448442219. The next prime is 448442231. The reversal of 448442224 is 422244844.

It is a super-2 number, since 2×4484422242 = 402200856532132352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 448442224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31989 + ... + 43819.

Almost surely, 2448442224 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 448442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457756416).

448442224 is an abundant number, since it is smaller than the sum of its proper divisors (467070608).

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

448442224 is a wasteful number, since it uses less digits than its factorization.

448442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11965 (or 11959 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

The square root of 448442224 is about 21176.4544718893. The cubic root of 448442224 is about 765.4241593846.

The spelling of 448442224 in words is "four hundred forty-eight million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 103 184 206 368 412 824 1648 2369 4738 9476 11831 18952 23662 37904 47324 94648 189296 272113 544226 1088452 1218593 2176904 2437186 4353808 4874372 9748744 19497488 28027639 56055278 112110556 224221112 448442224