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510742349 = 13149263677
BaseRepresentation
bin11110011100010…
…100111101001101
31022121001101210022
4132130110331031
52021222223344
6122402551525
715441144515
oct3634247515
91277041708
10510742349
11242334317
121230685a5
1381a76810
144bb90845
152ec8b0ee
hex1e714f4d

510742349 has 8 divisors (see below), whose sum is σ = 553723800. Its totient is φ = 468288576.

The previous prime is 510742343. The next prime is 510742381. The reversal of 510742349 is 943247015.

It can be written as a sum of positive squares in 4 ways, for example, as 28281124 + 482461225 = 5318^2 + 21965^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 510742349 - 28 = 510742093 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 (510742343) 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 7 ways as a sum of consecutive naturals, for example, 129902 + ... + 133775.

It is an arithmetic number, because the mean of its divisors is an integer number (69215475).

Almost surely, 2510742349 is an apocalyptic number.

It is an amenable number.

510742349 is a deficient number, since it is larger than the sum of its proper divisors (42981451).

510742349 is a wasteful number, since it uses less digits than its factorization.

510742349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263839.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 510742349 is about 22599.6094877766. The cubic root of 510742349 is about 799.3444363797.

The spelling of 510742349 in words is "five hundred ten million, seven hundred forty-two thousand, three hundred forty-nine".

Divisors: 1 13 149 1937 263677 3427801 39287873 510742349