Search a number
-
+
2857512825 = 3252291313343
BaseRepresentation
bin1010101001010010…
…0010111101111001
321101010220200200100
42222110202331321
521323010402300
61151314230013
7130545313116
oct25224427571
97333820610
102857512825
111236a9a752
12678b85309
133670160bb
141d171590d
1511acea700
hexaa522f79

2857512825 has 72 divisors (see below), whose sum is σ = 5336622720. Its totient is φ = 1459785600.

The previous prime is 2857512821. The next prime is 2857512859. The reversal of 2857512825 is 5282157582.

2857512825 is a `hidden beast` number, since 2 + 8 + 57 + 512 + 82 + 5 = 666.

It is not a de Polignac number, because 2857512825 - 22 = 2857512821 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2857512821) 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 71 ways as a sum of consecutive naturals, for example, 853104 + ... + 856446.

It is an arithmetic number, because the mean of its divisors is an integer number (74119760).

Almost surely, 22857512825 is an apocalyptic number.

2857512825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2857512825 is a deficient number, since it is larger than the sum of its proper divisors (2479109895).

2857512825 is a wasteful number, since it uses less digits than its factorization.

2857512825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3511 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The square root of 2857512825 is about 53455.7090028745. The cubic root of 2857512825 is about 1419.0446567897.

The spelling of 2857512825 in words is "two billion, eight hundred fifty-seven million, five hundred twelve thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 131 145 225 261 393 435 655 725 1179 1305 1965 2175 3275 3343 3799 5895 6525 9825 10029 11397 16715 18995 29475 30087 34191 50145 56985 83575 94975 96947 150435 170955 250725 284925 290841 437933 484735 752175 854775 872523 1313799 1454205 2189665 2423675 3941397 4362615 6568995 7271025 10948325 12700057 19706985 21813075 32844975 38100171 63500285 98534925 114300513 190500855 317501425 571502565 952504275 2857512825