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489629052 = 2232114153569
BaseRepresentation
bin11101001011110…
…010010101111100
31021010022201210100
4131023302111330
52000321112202
6120330241100
715063530643
oct3513622574
91233281710
10489629052
11231423610
12117b86190
137a593743
144905635a
152ceba41c
hex1d2f257c

489629052 has 144 divisors (see below), whose sum is σ = 1411693920. Its totient is φ = 141772800.

The previous prime is 489629051. The next prime is 489629071. The reversal of 489629052 is 250926984.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 489628989 and 489629007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489629051) 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 47 ways as a sum of consecutive naturals, for example, 860224 + ... + 860792.

It is an arithmetic number, because the mean of its divisors is an integer number (9803430).

Almost surely, 2489629052 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 489629052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705846960).

489629052 is an abundant number, since it is smaller than the sum of its proper divisors (922064868).

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

489629052 is a wasteful number, since it uses less digits than its factorization.

489629052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 489629052 is about 22127.5631735625. The cubic root of 489629052 is about 788.1745235163.

The spelling of 489629052 in words is "four hundred eighty-nine million, six hundred twenty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 53 66 82 99 106 123 132 159 164 198 212 246 318 369 396 451 477 492 569 583 636 738 902 954 1138 1166 1353 1476 1707 1749 1804 1908 2173 2276 2332 2706 3414 3498 4059 4346 5121 5247 5412 6259 6519 6828 6996 8118 8692 10242 10494 12518 13038 16236 18777 19557 20484 20988 23329 23903 25036 26076 30157 37554 39114 46658 47806 56331 60314 69987 71709 75108 78228 90471 93316 95612 112662 120628 139974 143418 180942 209961 215127 225324 256619 271413 279948 286836 331727 361884 419922 430254 513238 542826 663454 769857 839844 860508 995181 1026476 1085652 1236437 1326908 1539714 1990362 2309571 2472874 2985543 3079428 3709311 3980724 4619142 4945748 5971086 7418622 9238284 11127933 11942172 13600807 14837244 22255866 27201614 40802421 44511732 54403228 81604842 122407263 163209684 244814526 489629052