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4481240080 = 245291931569
BaseRepresentation
bin1000010110001101…
…00100110000010000
3102120022020120201211
410023012210300100
533134144140310
62020400305504
7216022624612
oct41306446020
912508216654
104481240080
11199a5a7aa9
12a50912294
13565538965
14307224db2
151b3634c8a
hex10b1a4c10

4481240080 has 40 divisors (see below), whose sum is σ = 10778160600. Its totient is φ = 1730684928.

The previous prime is 4481240077. The next prime is 4481240083. The reversal of 4481240080 is 800421844.

It is an interprime number because it is at equal distance from previous prime (4481240077) and next prime (4481240083).

It can be written as a sum of positive squares in 4 ways, for example, as 381655296 + 4099584784 = 19536^2 + 64028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4481240083) 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, 963465 + ... + 968104.

It is an arithmetic number, because the mean of its divisors is an integer number (269454015).

Almost surely, 24481240080 is an apocalyptic number.

4481240080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4481240080 is an abundant number, since it is smaller than the sum of its proper divisors (6296920520).

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

4481240080 is a wasteful number, since it uses less digits than its factorization.

4481240080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931611 (or 1931605 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 4481240080 is about 66942.0651011007. The cubic root of 4481240080 is about 1648.6662107565. Note that the first 3 decimals are identical.

The spelling of 4481240080 in words is "four billion, four hundred eighty-one million, two hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 1931569 3863138 7726276 9657845 15452552 19315690 30905104 38631380 56015501 77262760 112031002 154525520 224062004 280077505 448124008 560155010 896248016 1120310020 2240620040 4481240080