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5760828593 = 13617264601
BaseRepresentation
bin1010101110101111…
…10100010010110001
3112212111000102011222
411113113310102301
543244233003333
62351350314425
7262521143432
oct52727642261
915774012158
105760828593
112496923873
121149358a15
1370a678120
143c9151489
1523ab42298
hex1575f44b1

5760828593 has 8 divisors (see below), whose sum is σ = 6305674536. Its totient is φ = 5230512000.

The previous prime is 5760828589. The next prime is 5760828643. The reversal of 5760828593 is 3958280675.

It can be written as a sum of positive squares in 4 ways, for example, as 508637809 + 5252190784 = 22553^2 + 72472^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5760828593 - 22 = 5760828589 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5960828593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3631508 + ... + 3633093.

It is an arithmetic number, because the mean of its divisors is an integer number (788209317).

Almost surely, 25760828593 is an apocalyptic number.

It is an amenable number.

5760828593 is a deficient number, since it is larger than the sum of its proper divisors (544845943).

5760828593 is a wasteful number, since it uses less digits than its factorization.

5760828593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264675.

The product of its (nonzero) digits is 3628800, while the sum is 53.

The square root of 5760828593 is about 75900.1224834321. The cubic root of 5760828593 is about 1792.6478496081.

The spelling of 5760828593 in words is "five billion, seven hundred sixty million, eight hundred twenty-eight thousand, five hundred ninety-three".

Divisors: 1 13 61 793 7264601 94439813 443140661 5760828593