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512755061 = 72132941677
BaseRepresentation
bin11110100100000…
…000010101110101
31022201211122201012
4132210000111311
52022231130221
6122514042005
715464226500
oct3644002565
91281748635
10512755061
11243489515
12123879305
13822cc980
144c156137
153003765b
hex1e900575

512755061 has 48 divisors (see below), whose sum is σ = 681715440. Its totient is φ = 381588480.

The previous prime is 512755051. The next prime is 512755069. The reversal of 512755061 is 160557215.

It can be written as a sum of positive squares in 8 ways, for example, as 6280036 + 506475025 = 2506^2 + 22505^2 .

It is not a de Polignac number, because 512755061 - 222 = 508560757 is a prime.

It is a super-2 number, since 2×5127550612 = 525835505162227442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512755069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757055 + ... + 757731.

It is an arithmetic number, because the mean of its divisors is an integer number (14202405).

Almost surely, 2512755061 is an apocalyptic number.

It is an amenable number.

512755061 is a deficient number, since it is larger than the sum of its proper divisors (168960379).

512755061 is a wasteful number, since it uses less digits than its factorization.

512755061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 32.

The square root of 512755061 is about 22644.0954997103. The cubic root of 512755061 is about 800.3930677780.

The spelling of 512755061 in words is "five hundred twelve million, seven hundred fifty-five thousand, sixty-one".

Divisors: 1 7 13 29 41 49 91 203 287 377 533 637 677 1189 1421 2009 2639 3731 4739 8323 8801 15457 18473 19633 26117 27757 33173 58261 61607 108199 137431 194299 255229 360841 431249 757393 804953 962017 1360093 1786603 2525887 5634671 10464389 12506221 17681209 39442697 73250723 512755061