Search a number
-
+
505743327 = 3283966977
BaseRepresentation
bin11110001001010…
…000011111011111
31022020122102102100
4132021100133133
52013432241302
6122103500143
715350514225
oct3611203737
91266572370
10505743327
1123a52a4a1
12121457653
1380a1630b
144b24cb15
152e5eed1c
hex1e2507df

505743327 has 12 divisors (see below), whose sum is σ = 731399760. Its totient is φ = 336755328.

The previous prime is 505743313. The next prime is 505743347. The reversal of 505743327 is 723347505.

505743327 is a `hidden beast` number, since 50 + 574 + 3 + 32 + 7 = 666.

It is not a de Polignac number, because 505743327 - 26 = 505743263 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505743291 and 505743300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505743307) 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 11 ways as a sum of consecutive naturals, for example, 25938 + ... + 41039.

It is an arithmetic number, because the mean of its divisors is an integer number (60949980).

Almost surely, 2505743327 is an apocalyptic number.

505743327 is a deficient number, since it is larger than the sum of its proper divisors (225656433).

505743327 is a wasteful number, since it uses less digits than its factorization.

505743327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67822 (or 67819 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 505743327 is about 22488.7377813874. The cubic root of 505743327 is about 796.7279515148.

It can be divided in two parts, 5057 and 43327, that added together give a palindrome (48384).

The spelling of 505743327 in words is "five hundred five million, seven hundred forty-three thousand, three hundred twenty-seven".

Divisors: 1 3 9 839 2517 7551 66977 200931 602793 56193703 168581109 505743327