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4441289320 = 235138540941
BaseRepresentation
bin1000010001011100…
…01011001001101000
3102110112001212121001
410020232023021220
533043432224240
62012412124344
7215026223236
oct41056131150
912415055531
104441289320
111979aa0446
12a3b4666b4
1355a18b660
14301bc5956
151aed9289a
hex108b8b268

4441289320 has 32 divisors (see below), whose sum is σ = 10761586920. Its totient is φ = 1639860480.

The previous prime is 4441289317. The next prime is 4441289323. The reversal of 4441289320 is 239821444.

It is an interprime number because it is at equal distance from previous prime (4441289317) and next prime (4441289323).

It can be written as a sum of positive squares in 4 ways, for example, as 2719205316 + 1722084004 = 52146^2 + 41498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4441289320.

It is not an unprimeable number, because it can be changed into a prime (4441289323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4269951 + ... + 4270990.

Almost surely, 24441289320 is an apocalyptic number.

4441289320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4441289320 is an abundant number, since it is smaller than the sum of its proper divisors (6320297600).

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

4441289320 is a wasteful number, since it uses less digits than its factorization.

4441289320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8540965 (or 8540961 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 4441289320 is about 66642.9990321564. Note that the first 3 decimals coincide. The cubic root of 4441289320 is about 1643.7522304856.

It can be divided in two parts, 4441 and 289320, that added together give a triangular number (293761 = T766).

The spelling of 4441289320 in words is "four billion, four hundred forty-one million, two hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 8540941 17081882 34163764 42704705 68327528 85409410 111032233 170818820 222064466 341637640 444128932 555161165 888257864 1110322330 2220644660 4441289320