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4448138120 = 235891249477
BaseRepresentation
bin1000010010010000…
…10011001110001000
3102110222221211101022
410021020103032020
533102210404440
62013215012012
7215141356466
oct41110231610
912428854338
104448138120
111982949008
12a4180a008
1355b718aba
14302a89836
151b0796cb5
hex109213388

4448138120 has 32 divisors (see below), whose sum is σ = 10120771800. Its totient is φ = 1759262208.

The previous prime is 4448138119. The next prime is 4448138129. The reversal of 4448138120 is 218318444.

It can be written as a sum of positive squares in 4 ways, for example, as 1802681764 + 2645456356 = 42458^2 + 51434^2 .

It is not an unprimeable number, because it can be changed into a prime (4448138129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 621179 + ... + 628298.

Almost surely, 24448138120 is an apocalyptic number.

4448138120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4448138120 is an abundant number, since it is smaller than the sum of its proper divisors (5672633680).

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

4448138120 is a wasteful number, since it uses less digits than its factorization.

4448138120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249577 (or 1249573 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 4448138120 is about 66694.3634799823. The cubic root of 4448138120 is about 1644.5967261312.

The spelling of 4448138120 in words is "four billion, four hundred forty-eight million, one hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 1249477 2498954 4997908 6247385 9995816 12494770 24989540 49979080 111203453 222406906 444813812 556017265 889627624 1112034530 2224069060 4448138120