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513029412 = 2232721915307
BaseRepresentation
bin11110100101000…
…011010100100100
31022202100121001100
4132211003110210
52022313420122
6122524000100
715466451400
oct3645032444
91282317040
10513029412
11243656655
12123990030
13823977cc
144c1c8100
153008daac
hex1e943524

513029412 has 108 divisors (see below), whose sum is σ = 1588051920. Its totient is φ = 138856032.

The previous prime is 513029389. The next prime is 513029441. The reversal of 513029412 is 214920315.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 25863 + ... + 41169.

Almost surely, 2513029412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513029412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794025960).

513029412 is an abundant number, since it is smaller than the sum of its proper divisors (1075022508).

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

513029412 is a wasteful number, since it uses less digits than its factorization.

513029412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15350 (or 15338 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 513029412 is about 22650.1525822675. The cubic root of 513029412 is about 800.5357931603.

Adding to 513029412 its reverse (214920315), we get a palindrome (727949727).

The spelling of 513029412 in words is "five hundred thirteen million, twenty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1596 1764 1862 2394 2793 3724 4788 5586 8379 11172 15307 16758 30614 33516 45921 61228 91842 107149 137763 183684 214298 275526 290833 321447 428596 551052 581666 642894 750043 872499 964341 1163332 1285788 1500086 1744998 1928682 2035831 2250129 2617497 3000172 3489996 3857364 4071662 4500258 5234994 6107493 6750387 8143324 9000516 10469988 12214986 13500774 14250817 18322479 24429972 27001548 28501634 36644958 42752451 57003268 73289916 85504902 128257353 171009804 256514706 513029412