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395680815 = 3352930969
BaseRepresentation
bin10111100101011…
…001110000101111
31000120112200001000
4113211121300233
51302243241230
6103132451343
712543142245
oct2745316057
91016480030
10395680815
11193395942
12b0619b53
1363c8b67a
143a79c795
1524b0db60
hex17959c2f

395680815 has 16 divisors (see below), whose sum is σ = 703432800. Its totient is φ = 211029696.

The previous prime is 395680811. The next prime is 395680829. The reversal of 395680815 is 518086593.

395680815 is a `hidden beast` number, since 3 + 9 + 568 + 0 + 81 + 5 = 666.

It is not a de Polignac number, because 395680815 - 22 = 395680811 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395680811) 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 15 ways as a sum of consecutive naturals, for example, 1465350 + ... + 1465619.

It is an arithmetic number, because the mean of its divisors is an integer number (43964550).

Almost surely, 2395680815 is an apocalyptic number.

395680815 is a deficient number, since it is larger than the sum of its proper divisors (307751985).

395680815 is a wasteful number, since it uses less digits than its factorization.

395680815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930983 (or 2930977 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 395680815 is about 19891.7273005639. The cubic root of 395680815 is about 734.1446943792.

It can be divided in two parts, 395680 and 815, that added together give a triangular number (396495 = T890).

The spelling of 395680815 in words is "three hundred ninety-five million, six hundred eighty thousand, eight hundred fifteen".

Divisors: 1 3 5 9 15 27 45 135 2930969 8792907 14654845 26378721 43964535 79136163 131893605 395680815