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506646365 = 537274017
BaseRepresentation
bin11110001100101…
…100111101011101
31022022100022011012
4132030230331131
52014200140430
6122135105005
715361265051
oct3614547535
91268308135
10506646365
1123aa96a05
12121812165
1380c71364
144b405c61
152e72c695
hex1e32cf5d

506646365 has 12 divisors (see below), whose sum is σ = 624859956. Its totient is φ = 394357248.

The previous prime is 506646319. The next prime is 506646367. The reversal of 506646365 is 563646605.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 204547204 + 302099161 = 14302^2 + 17381^2 .

It is not a de Polignac number, because 506646365 - 28 = 506646109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506646367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30164 + ... + 43853.

It is an arithmetic number, because the mean of its divisors is an integer number (52071663).

Almost surely, 2506646365 is an apocalyptic number.

It is an amenable number.

506646365 is a deficient number, since it is larger than the sum of its proper divisors (118213591).

506646365 is an equidigital number, since it uses as much as digits as its factorization.

506646365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74096 (or 74059 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

The square root of 506646365 is about 22508.8063877230. The cubic root of 506646365 is about 797.2018729542.

The spelling of 506646365 in words is "five hundred six million, six hundred forty-six thousand, three hundred sixty-five".

Divisors: 1 5 37 185 1369 6845 74017 370085 2738629 13693145 101329273 506646365