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448380216 = 233223270761
BaseRepresentation
bin11010101110011…
…011110100111000
31011020201002000200
4122232123310320
51404241131331
6112254202200
714053111644
oct3256336470
91136632020
10448380216
1121010a769
121061b3360
1371b8064b
1443799c24
152956d5e6
hex1ab9bd38

448380216 has 48 divisors (see below), whose sum is σ = 1267166160. Its totient is φ = 142961280.

The previous prime is 448380211. The next prime is 448380217. The reversal of 448380216 is 612083844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448380211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 133725 + ... + 137036.

It is an arithmetic number, because the mean of its divisors is an integer number (26399295).

Almost surely, 2448380216 is an apocalyptic number.

448380216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

448380216 is an abundant number, since it is smaller than the sum of its proper divisors (818785944).

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

448380216 is a wasteful number, since it uses less digits than its factorization.

448380216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270796 (or 270789 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 448380216 is about 21174.9903423827. The cubic root of 448380216 is about 765.3888782815.

The spelling of 448380216 in words is "four hundred forty-eight million, three hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 270761 541522 812283 1083044 1624566 2166088 2436849 3249132 4873698 6227503 6498264 9747396 12455006 18682509 19494792 24910012 37365018 49820024 56047527 74730036 112095054 149460072 224190108 448380216