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538159248 = 243311269421
BaseRepresentation
bin100000000100111…
…010100010010000
31101111122022201000
4200010322202100
52100232043443
6125222342000
716223164254
oct4004724220
91344568630
10538159248
11256860010
1213028a900
1387655b33
145168a264
15323a48d3
hex2013a890

538159248 has 160 divisors (see below), whose sum is σ = 1695427200. Its totient is φ = 162086400.

The previous prime is 538159247. The next prime is 538159283. The reversal of 538159248 is 842951835.

538159248 is a `hidden beast` number, since 53 + 8 + 1 + 592 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (538159247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1278078 + ... + 1278498.

It is an arithmetic number, because the mean of its divisors is an integer number (10596420).

Almost surely, 2538159248 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 538159248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847713600).

538159248 is an abundant number, since it is smaller than the sum of its proper divisors (1157267952).

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

538159248 is a wasteful number, since it uses less digits than its factorization.

538159248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 706 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 538159248 is about 23198.2595898917. The cubic root of 538159248 is about 813.3989409288.

The spelling of 538159248 in words is "five hundred thirty-eight million, one hundred fifty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 269 297 396 421 432 528 538 594 792 807 842 1076 1188 1263 1584 1614 1684 2152 2376 2421 2526 2959 3228 3368 3789 4304 4631 4752 4842 5052 5918 6456 6736 7263 7578 8877 9262 9684 10104 11367 11836 12912 13893 14526 15156 17754 18524 19368 20208 22734 23672 26631 27786 29052 30312 35508 37048 38736 41679 45468 47344 53262 55572 58104 60624 71016 74096 79893 83358 90936 106524 111144 113249 116208 125037 142032 159786 166716 181872 213048 222288 226498 250074 319572 333432 339747 426096 452996 500148 639144 666864 679494 905992 1000296 1019241 1245739 1278288 1358988 1811984 2000592 2038482 2491478 2717976 3057723 3737217 4076964 4982956 5435952 6115446 7474434 8153928 9965912 11211651 12230892 14948868 16307856 19931824 22423302 24461784 29897736 33634953 44846604 48923568 59795472 67269906 89693208 134539812 179386416 269079624 538159248