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512134146 = 232172372767
BaseRepresentation
bin11110100001101…
…000110000000010
31022200200002222100
4132201220300002
52022101243041
6122452451230
715456032316
oct3641506002
91280602870
10512134146
112430a4a67
12123619b16
1382143174
144c033b46
152ee636b6
hex1e868c02

512134146 has 48 divisors (see below), whose sum is σ = 1225995264. Its totient is φ = 153681792.

The previous prime is 512134141. The next prime is 512134159. The reversal of 512134146 is 641431215.

It is a happy number.

512134146 is a `hidden beast` number, since 512 + 1 + 3 + 4 + 146 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (512134141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29346 + ... + 43421.

It is an arithmetic number, because the mean of its divisors is an integer number (25541568).

Almost surely, 2512134146 is an apocalyptic number.

512134146 is an abundant number, since it is smaller than the sum of its proper divisors (713861118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

512134146 is a wasteful number, since it uses less digits than its factorization.

512134146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72815 (or 72812 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 512134146 is about 22630.3810396555. The cubic root of 512134146 is about 800.0698616074.

The spelling of 512134146 in words is "five hundred twelve million, one hundred thirty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1173 2346 3519 7038 72767 145534 218301 436602 654903 1237039 1309806 1673641 2474078 3347282 3711117 5020923 7422234 10041846 11133351 15062769 22266702 28451897 30125538 56903794 85355691 170711382 256067073 512134146