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4007542873 is a prime number
BaseRepresentation
bin1110111011011110…
…0100000001011001
3101100021220021022211
43232313210001121
531201412332443
61501355315121
7201211360315
oct35667440131
911307807284
104007542873
111777176304
1293a14baa1
134bb362a59
142a0358b45
15186c6519d
hexeede4059

4007542873 has 2 divisors, whose sum is σ = 4007542874. Its totient is φ = 4007542872.

The previous prime is 4007542859. The next prime is 4007542933. The reversal of 4007542873 is 3782457004.

4007542873 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2419360969 + 1588181904 = 49187^2 + 39852^2 .

It is a cyclic number.

It is not a de Polignac number, because 4007542873 - 25 = 4007542841 is a prime.

It is not a weakly prime, because it can be changed into another prime (4007842873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003771436 + 2003771437.

It is an arithmetic number, because the mean of its divisors is an integer number (2003771437).

Almost surely, 24007542873 is an apocalyptic number.

It is an amenable number.

4007542873 is a deficient number, since it is larger than the sum of its proper divisors (1).

4007542873 is an equidigital number, since it uses as much as digits as its factorization.

4007542873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 4007542873 is about 63305.1567646744. The cubic root of 4007542873 is about 1588.3982224810.

Adding to 4007542873 its reverse (3782457004), we get a palindrome (7789999877).

The spelling of 4007542873 in words is "four billion, seven million, five hundred forty-two thousand, eight hundred seventy-three".