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4385055041 = 232972881
BaseRepresentation
bin1000001010101111…
…01010000101000001
3102022121020212122222
410011113222011001
532440033230131
62003042540425
7213444232013
oct40527520501
912277225588
104385055041
111950281834
12a24667715
1354b62c733
142d85481b3
151a9e8587b
hex1055ea141

4385055041 has 18 divisors (see below), whose sum is σ = 4637001222. Its totient is φ = 4146447360.

The previous prime is 4385054981. The next prime is 4385055071. The reversal of 4385055041 is 1405505834.

It can be written as a sum of positive squares in 3 ways, for example, as 118352641 + 4266702400 = 10879^2 + 65320^2 .

It is not a de Polignac number, because 4385055041 - 218 = 4384792897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4385054992 and 4385055010.

It is not an unprimeable number, because it can be changed into a prime (4385055071) 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 17 ways as a sum of consecutive naturals, for example, 4976921 + ... + 4977801.

It is an arithmetic number, because the mean of its divisors is an integer number (257611179).

Almost surely, 24385055041 is an apocalyptic number.

It is an amenable number.

4385055041 is a deficient number, since it is larger than the sum of its proper divisors (251946181).

4385055041 is an frugal number, since it uses more digits than its factorization.

4385055041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 4385055041 is about 66219.7481194243. The cubic root of 4385055041 is about 1636.7851756836.

The spelling of 4385055041 in words is "four billion, three hundred eighty-five million, fifty-five thousand, forty-one".

Divisors: 1 23 97 529 881 2231 9409 20263 51313 85457 216407 466049 1965511 4977361 8289329 45206753 190654567 4385055041