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395048565 = 32511377689
BaseRepresentation
bin10111100010111…
…111011001110101
31000112100112202100
4113202333121311
51302113023230
6103111132313
712534600042
oct2742773165
91015315670
10395048565
11192aa391a
12b0374099
1363ac9962
143a6761c9
1524a36660
hex178bf675

395048565 has 24 divisors (see below), whose sum is σ = 690819480. Its totient is φ = 208825344.

The previous prime is 395048539. The next prime is 395048603. The reversal of 395048565 is 565840593.

395048565 is a `hidden beast` number, since 3 + 9 + 504 + 85 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3721041 + 391327524 = 1929^2 + 19782^2 .

It is not a de Polignac number, because 395048565 - 26 = 395048501 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 395048565.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33760 + ... + 43929.

It is an arithmetic number, because the mean of its divisors is an integer number (28784145).

Almost surely, 2395048565 is an apocalyptic number.

It is an amenable number.

395048565 is a deficient number, since it is larger than the sum of its proper divisors (295770915).

395048565 is a wasteful number, since it uses less digits than its factorization.

395048565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77813 (or 77810 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 395048565 is about 19875.8286619703. The cubic root of 395048565 is about 733.7534611675.

The spelling of 395048565 in words is "three hundred ninety-five million, forty-eight thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 45 113 339 565 1017 1695 5085 77689 233067 388445 699201 1165335 3496005 8778857 26336571 43894285 79009713 131682855 395048565