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505344645 = 32513266449
BaseRepresentation
bin11110000111101…
…111001010000101
31022012220011112100
4132013233022011
52013332012040
6122051142313
715344234001
oct3607571205
91265804470
10505344645
1123a287a03
121212a4999
1380906a00
144b187701
152e571b30
hex1e1ef285

505344645 has 36 divisors (see below), whose sum is σ = 948507300. Its totient is φ = 248781312.

The previous prime is 505344641. The next prime is 505344649. The reversal of 505344645 is 546443505.

505344645 is a `hidden beast` number, since 5 + 0 + 5 + 3 + 4 + 4 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (505344641) and next prime (505344649).

It can be written as a sum of positive squares in 6 ways, for example, as 10771524 + 494573121 = 3282^2 + 22239^2 .

It is not a de Polignac number, because 505344645 - 22 = 505344641 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505344641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25620 + ... + 40829.

It is an arithmetic number, because the mean of its divisors is an integer number (26347425).

Almost surely, 2505344645 is an apocalyptic number.

It is an amenable number.

505344645 is a deficient number, since it is larger than the sum of its proper divisors (443162655).

505344645 is a wasteful number, since it uses less digits than its factorization.

505344645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66486 (or 66470 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 505344645 is about 22479.8719969665. The cubic root of 505344645 is about 796.5185405487.

The spelling of 505344645 in words is "five hundred five million, three hundred forty-four thousand, six hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2535 7605 66449 199347 332245 598041 863837 996735 2591511 2990205 4319185 7774533 11229881 12957555 33689643 38872665 56149405 101068929 168448215 505344645