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448118216 = 237135910433
BaseRepresentation
bin11010101101011…
…011110111001000
31011020012202121222
4122231123313020
51404204240331
6112244421212
714050641050
oct3255336710
91136182558
10448118216
1120aa50937
121060a7808
1371abb310
144372c560
152951ab7b
hex1ab5bdc8

448118216 has 64 divisors (see below), whose sum is σ = 1051747200. Its totient is φ = 174256128.

The previous prime is 448118201. The next prime is 448118227. The reversal of 448118216 is 612811844.

It is a happy number.

It is a super-2 number, since 2×4481182162 = 401619871022045312, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 37736 + ... + 48168.

It is an arithmetic number, because the mean of its divisors is an integer number (16433550).

Almost surely, 2448118216 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 448118216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525873600).

448118216 is an abundant number, since it is smaller than the sum of its proper divisors (603628984).

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

448118216 is a wasteful number, since it uses less digits than its factorization.

448118216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10518 (or 10514 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 448118216 is about 21168.8028948262. The cubic root of 448118216 is about 765.2397704854.

The spelling of 448118216 in words is "four hundred forty-eight million, one hundred eighteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 59 91 104 118 182 236 364 413 472 728 767 826 1534 1652 3068 3304 5369 6136 10433 10738 20866 21476 41732 42952 73031 83464 135629 146062 271258 292124 542516 584248 615547 949403 1085032 1231094 1898806 2462188 3797612 4308829 4924376 7595224 8002111 8617658 16004222 17235316 32008444 34470632 56014777 64016888 112029554 224059108 448118216