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489805344 = 253271511609
BaseRepresentation
bin11101001100011…
…101011000100000
31021010122200121200
4131030131120200
52000342232334
6120334121200
715065163630
oct3514353040
91233580550
10489805344
11231534006
12118050200
137a625a62
14490a06c0
152d002799
hex1d31d620

489805344 has 144 divisors (see below), whose sum is σ = 1603405440. Its totient is φ = 138931200.

The previous prime is 489805339. The next prime is 489805361. The reversal of 489805344 is 443508984.

It is a happy number.

489805344 is a `hidden beast` number, since 489 + 80 + 53 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 489805344.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 303612 + ... + 305220.

It is an arithmetic number, because the mean of its divisors is an integer number (11134760).

Almost surely, 2489805344 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 489805344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801702720).

489805344 is an abundant number, since it is smaller than the sum of its proper divisors (1113600096).

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

489805344 is a wasteful number, since it uses less digits than its factorization.

489805344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 489805344 is about 22131.5463535651. The cubic root of 489805344 is about 788.2691068133.

The spelling of 489805344 in words is "four hundred eighty-nine million, eight hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 151 168 224 252 288 302 336 453 504 604 672 906 1008 1057 1208 1359 1609 1812 2016 2114 2416 2718 3171 3218 3624 4228 4827 4832 5436 6342 6436 7248 8456 9513 9654 10872 11263 12684 12872 14481 14496 16912 19026 19308 21744 22526 25368 25744 28962 33789 33824 38052 38616 43488 45052 50736 51488 57924 67578 76104 77232 90104 101367 101472 115848 135156 152208 154464 180208 202734 231696 242959 270312 304416 360416 405468 463392 485918 540624 728877 810936 971836 1081248 1457754 1621872 1700713 1943672 2186631 2915508 3243744 3401426 3887344 4373262 5102139 5831016 6802852 7774688 8746524 10204278 11662032 13605704 15306417 17493048 20408556 23324064 27211408 30612834 34986096 40817112 54422816 61225668 69972192 81634224 122451336 163268448 244902672 489805344