Search a number
-
+
5285775825 = 335211711889
BaseRepresentation
bin1001110110000111…
…01000100111010001
3111122101010020022000
410323003220213101
541311124311300
62232300304213
7244662232101
oct47303504721
914571106260
105285775825
112272756680
121036242069
13663119205
14382011201
1520e0a5c00
hex13b0e89d1

5285775825 has 48 divisors (see below), whose sum is σ = 10592923200. Its totient is φ = 2562796800.

The previous prime is 5285775823. The next prime is 5285775871.

5285775825 is a `hidden beast` number, since 5 + 2 + 8 + 57 + 7 + 582 + 5 = 666.

5285775825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5285775825 - 21 = 5285775823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5285775821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348520 + ... + 363369.

It is an arithmetic number, because the mean of its divisors is an integer number (220685900).

Almost surely, 25285775825 is an apocalyptic number.

5285775825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5285775825 is an abundant number, since it is smaller than the sum of its proper divisors (5307147375).

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

5285775825 is a wasteful number, since it uses less digits than its factorization.

5285775825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711919 (or 711908 counting only the distinct ones).

The product of its digits is 7840000, while the sum is 54.

The square root of 5285775825 is about 72703.3412230827. The cubic root of 5285775825 is about 1741.9522528976.

The spelling of 5285775825 in words is "five billion, two hundred eighty-five million, seven hundred seventy-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 711889 2135667 3559445 6407001 7830779 10678335 17797225 19221003 23492337 32035005 39153895 53391675 70477011 96105015 117461685 160175025 195769475 211431033 352385055 480525075 587308425 1057155165 1761925275 5285775825