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4435382017 = 114389105361
BaseRepresentation
bin1000010000101111…
…01000111100000001
3102110002221202022001
410020113220330001
533040424211032
62012041344001
7214625060623
oct41027507401
912402852261
104435382017
111976726180
12a39498001
13558ba0901
143010c8c13
151ae5c73e7
hex1085e8f01

4435382017 has 16 divisors (see below), whose sum is σ = 5006802240. Its totient is φ = 3894105600.

The previous prime is 4435381969. The next prime is 4435382023. The reversal of 4435382017 is 7102835344.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-4435382017 is a prime.

It is a super-2 number, since 2×44353820172 = 39345227273453976578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4435382087) 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 15 ways as a sum of consecutive naturals, for example, 10584 + ... + 94777.

It is an arithmetic number, because the mean of its divisors is an integer number (312925140).

Almost surely, 24435382017 is an apocalyptic number.

It is an amenable number.

4435382017 is a deficient number, since it is larger than the sum of its proper divisors (571420223).

4435382017 is a wasteful number, since it uses less digits than its factorization.

4435382017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105504.

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 4435382017 is about 66598.6637778867. The cubic root of 4435382017 is about 1643.0231290859.

The spelling of 4435382017 in words is "four billion, four hundred thirty-five million, three hundred eighty-two thousand, seventeen".

Divisors: 1 11 43 89 473 979 3827 42097 105361 1158971 4530523 9377129 49835753 103148419 403216547 4435382017