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505734047 = 7213793931
BaseRepresentation
bin11110001001001…
…110001110011111
31022020121221200122
4132021032032133
52013431442142
6122103345155
715350445200
oct3611161637
91266557618
10505734047
1123a523525
121214521bb
1380a12020
144b2495a7
152e5ec1d2
hex1e24e39f

505734047 has 12 divisors (see below), whose sum is σ = 633557736. Its totient is φ = 400140720.

The previous prime is 505734029. The next prime is 505734059. The reversal of 505734047 is 740437505.

It is not a de Polignac number, because 505734047 - 210 = 505733023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 505733998 and 505734016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505734067) 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, 396329 + ... + 397602.

It is an arithmetic number, because the mean of its divisors is an integer number (52796478).

Almost surely, 2505734047 is an apocalyptic number.

505734047 is a deficient number, since it is larger than the sum of its proper divisors (127823689).

505734047 is a wasteful number, since it uses less digits than its factorization.

505734047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793958 (or 793951 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 505734047 is about 22488.5314549439. The cubic root of 505734047 is about 796.7230783705.

The spelling of 505734047 in words is "five hundred five million, seven hundred thirty-four thousand, forty-seven".

Divisors: 1 7 13 49 91 637 793931 5557517 10321103 38902619 72247721 505734047