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4039005393 = 327315739157
BaseRepresentation
bin1111000010111110…
…0101010011010001
3101102111002201210100
43300233211103101
531232441133033
61504441523013
7202042656633
oct36057452321
911374081710
104039005393
111792a05595
129487a3469
134c4a2a627
142a45c8a53
151898cc513
hexf0be54d1

4039005393 has 24 divisors (see below), whose sum is σ = 5951859368. Its totient is φ = 2638801152.

The previous prime is 4039005379. The next prime is 4039005457. The reversal of 4039005393 is 3935009304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 977375169 + 3061630224 = 31263^2 + 55332^2 .

It is not a de Polignac number, because 4039005393 - 25 = 4039005361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4039005343) 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 in 23 ways as a sum of consecutive naturals, for example, 83571 + ... + 122727.

Almost surely, 24039005393 is an apocalyptic number.

It is an amenable number.

4039005393 is a deficient number, since it is larger than the sum of its proper divisors (1912853975).

4039005393 is a wasteful number, since it uses less digits than its factorization.

4039005393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39393 (or 39390 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 4039005393 is about 63553.1698107970. The cubic root of 4039005393 is about 1592.5441375026.

The spelling of 4039005393 in words is "four billion, thirty-nine million, five thousand, three hundred ninety-three".

Divisors: 1 3 9 73 157 219 471 657 1413 11461 34383 39157 103149 117471 352413 2858461 6147649 8575383 18442947 25726149 55328841 448778377 1346335131 4039005393