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530113248 = 253579739
BaseRepresentation
bin11111100110001…
…110001011100000
31100221111112200000
4133212032023200
52041202110443
6124334100000
716064613450
oct3746161340
91327445600
10530113248
11252264a25
1212964a600
1385a997a2
1450593d60
15318158d3
hex1f98e2e0

530113248 has 144 divisors (see below), whose sum is σ = 1786861440. Its totient is φ = 151445376.

The previous prime is 530113219. The next prime is 530113249. The reversal of 530113248 is 842311035.

It is a happy number.

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

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530113249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49563 + ... + 59301.

It is an arithmetic number, because the mean of its divisors is an integer number (12408760).

Almost surely, 2530113248 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 530113248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893430720).

530113248 is an abundant number, since it is smaller than the sum of its proper divisors (1256748192).

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

530113248 is an equidigital number, since it uses as much as digits as its factorization.

530113248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9771 (or 9751 counting only the distinct ones).

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

The square root of 530113248 is about 23024.1883244557. The cubic root of 530113248 is about 809.3248695376.

The spelling of 530113248 in words is "five hundred thirty million, one hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 9739 13608 18144 19478 27216 29217 38956 54432 58434 68173 77912 87651 116868 136346 155824 175302 204519 233736 262953 272692 311648 350604 409038 467472 525906 545384 613557 701208 788859 818076 934944 1051812 1090768 1227114 1402416 1577718 1636152 1840671 2103624 2181536 2366577 2454228 2804832 3155436 3272304 3681342 4207248 4733154 4908456 5522013 6310872 6544608 7362684 8414496 9466308 9816912 11044026 12621744 14725368 16566039 18932616 19633824 22088052 25243488 29450736 33132078 37865232 44176104 58901472 66264156 75730464 88352208 132528312 176704416 265056624 530113248