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5782882875 = 353711200273
BaseRepresentation
bin1010110001010111…
…11100101000111011
3112221000111212222020
411120223330220323
543320404223000
62353455125523
7263206456560
oct53053745073
915830455866
105782882875
1124a8317550
1211548138a3
137120ca5b3
143cc052867
1523ca4bba0
hex158afca3b

5782882875 has 64 divisors (see below), whose sum is σ = 11997213696. Its totient is φ = 2403264000.

The previous prime is 5782882873. The next prime is 5782882891.

5782882875 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5782882875 - 21 = 5782882873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5782882873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71262 + ... + 129011.

It is an arithmetic number, because the mean of its divisors is an integer number (187456464).

Almost surely, 25782882875 is an apocalyptic number.

5782882875 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5782882875 is an abundant number, since it is smaller than the sum of its proper divisors (6214330821).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5782882875 is a wasteful number, since it uses less digits than its factorization.

5782882875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200309 (or 200299 counting only the distinct ones).

The product of its digits is 20070400, while the sum is 60.

The square root of 5782882875 is about 76045.2685904915. The cubic root of 5782882875 is about 1794.9325450607.

The spelling of 5782882875 in words is "five billion, seven hundred eighty-two million, eight hundred eighty-two thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 125 165 175 231 275 375 385 525 825 875 1155 1375 1925 2625 4125 5775 9625 28875 200273 600819 1001365 1401911 2203003 3004095 4205733 5006825 6609009 7009555 11015015 15020475 15421021 21028665 25034125 33045045 35047775 46263063 55075075 75102375 77105105 105143325 165225225 175238875 231315315 275375375 385525525 525716625 826126125 1156576575 1927627625 5782882875