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512053245 = 39511243
BaseRepresentation
bin11110100001010…
…100111111111101
31022200112000000000
4132201110333331
52022041200440
6122451024513
715455244414
oct3641247775
91280460000
10512053245
1124304a200
1212359b139
13821153b2
144c01247b
152ee49730
hex1e854ffd

512053245 has 120 divisors (see below), whose sum is σ = 1036646688. Its totient is φ = 242494560.

The previous prime is 512053219. The next prime is 512053247. The reversal of 512053245 is 542350215.

It is a happy number.

512053245 is a `hidden beast` number, since 5 + 120 + 532 + 4 + 5 = 666.

It is not a de Polignac number, because 512053245 - 26 = 512053181 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512053247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11908194 + ... + 11908236.

Almost surely, 2512053245 is an apocalyptic number.

512053245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

512053245 is an abundant number, since it is smaller than the sum of its proper divisors (524593443).

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

512053245 is an frugal number, since it uses more digits than its factorization.

512053245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 512053245 is about 22628.5935267749. The cubic root of 512053245 is about 800.0277308096.

The spelling of 512053245 in words is "five hundred twelve million, fifty-three thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 43 45 55 81 99 121 129 135 165 215 243 297 363 387 405 473 495 605 645 729 891 1089 1161 1215 1419 1485 1815 1935 2187 2365 2673 3267 3483 3645 4257 4455 5203 5445 5805 6561 7095 8019 9801 10449 10935 12771 13365 15609 16335 17415 19683 21285 24057 26015 29403 31347 32805 38313 40095 46827 49005 52245 63855 72171 78045 88209 94041 98415 114939 120285 140481 147015 156735 191565 216513 234135 264627 282123 344817 360855 421443 441045 470205 574695 702405 793881 846369 1034451 1082565 1264329 1323135 1410615 1724085 2107215 2381643 3103353 3792987 3969405 4231845 5172255 6321645 9310059 11378961 11908215 15516765 18964935 34136883 46550295 56894805 102410649 170684415 512053245