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857395125 = 3653972
BaseRepresentation
bin110011000110101…
…100111110110101
32012202100012000000
4303012230332311
53223443121000
6221024541513
730150511146
oct6306547665
92182305000
10857395125
113aaa82714
121bb181899
1310882a2c2
1481c29acd
1550413000
hex331acfb5

857395125 has 84 divisors (see below), whose sum is σ = 1621019556. Its totient is φ = 452563200.

The previous prime is 857395079. The next prime is 857395129. The reversal of 857395125 is 521593758.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

857395125 is a `hidden beast` number, since 8 + 573 + 9 + 51 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 319479876 + 537915249 = 17874^2 + 23193^2 .

It is not a de Polignac number, because 857395125 - 216 = 857329589 is a prime.

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

Its product of digits (378000) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857395129) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8839077 + ... + 8839173.

Almost surely, 2857395125 is an apocalyptic number.

It is an amenable number.

857395125 is a deficient number, since it is larger than the sum of its proper divisors (763624431).

857395125 is an frugal number, since it uses more digits than its factorization.

857395125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 105 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 857395125 is about 29281.3101653597. The cubic root of 857395125 is about 950.0074329982.

Multiplying 857395125 by its sum of digits (45), we get a square (38582780625 = 1964252).

857395125 divided by its sum of digits (45) gives a square (19053225 = 43652).

The spelling of 857395125 in words is "eight hundred fifty-seven million, three hundred ninety-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 97 125 135 225 243 291 375 405 485 675 729 873 1125 1215 1455 2025 2425 2619 3375 3645 4365 6075 7275 7857 9409 10125 12125 13095 18225 21825 23571 28227 30375 36375 39285 47045 65475 70713 84681 91125 109125 117855 141135 196425 235225 254043 327375 353565 423405 589275 705675 762129 982125 1176125 1270215 1767825 2117025 2286387 2946375 3528375 3810645 6351075 6859161 8839125 10585125 11431935 19053225 31755375 34295805 57159675 95266125 171479025 285798375 857395125