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395857125 = 345339097
BaseRepresentation
bin10111100110000…
…100110011100101
31000120212121220000
4113212010303211
51302314412000
6103140331513
712544505256
oct2746046345
91016777800
10395857125
111934a6354
12b06a3b99
13640209b1
143a806b2d
1524b46000
hex17984ce5

395857125 has 40 divisors (see below), whose sum is σ = 738013848. Its totient is φ = 211118400.

The previous prime is 395857109. The next prime is 395857169. The reversal of 395857125 is 521758593.

395857125 is a `hidden beast` number, since 3 + 9 + 58 + 571 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25948836 + 369908289 = 5094^2 + 19233^2 .

It is not a de Polignac number, because 395857125 - 24 = 395857109 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9424 + ... + 29673.

Almost surely, 2395857125 is an apocalyptic number.

It is an amenable number.

395857125 is a deficient number, since it is larger than the sum of its proper divisors (342156723).

395857125 is an equidigital number, since it uses as much as digits as its factorization.

395857125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39124 (or 39105 counting only the distinct ones).

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

The square root of 395857125 is about 19896.1585488254. The cubic root of 395857125 is about 734.2537198241.

It can be divided in two parts, 39585 and 7125, that multiplied together give a triangular number (282043125 = T23750).

The spelling of 395857125 in words is "three hundred ninety-five million, eight hundred fifty-seven thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 2025 3375 10125 39097 117291 195485 351873 586455 977425 1055619 1759365 2932275 3166857 4887125 5278095 8796825 14661375 15834285 26390475 43984125 79171425 131952375 395857125