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538829568 = 2832972411
BaseRepresentation
bin100000000111011…
…110001100000000
31101112220101012200
4200013132030000
52100420021233
6125244553200
716231655454
oct4007361400
91345811180
10538829568
112571786a2
12130552800
138782bc84
14517c2664
1532488313
hex201de300

538829568 has 108 divisors (see below), whose sum is σ = 1570245768. Its totient is φ = 177684480.

The previous prime is 538829561. The next prime is 538829587. The reversal of 538829568 is 865928835.

538829568 is a `hidden beast` number, since 53 + 8 + 8 + 29 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (538829561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222283 + ... + 224693.

Almost surely, 2538829568 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 538829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785122884).

538829568 is an abundant number, since it is smaller than the sum of its proper divisors (1031416200).

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

538829568 is a wasteful number, since it uses less digits than its factorization.

538829568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2513 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 538829568 is about 23212.7027293247. The cubic root of 538829568 is about 813.7365184257.

The spelling of 538829568 in words is "five hundred thirty-eight million, eight hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 384 388 576 582 768 776 873 1152 1164 1552 1746 2304 2328 2411 3104 3492 4656 4822 6208 6984 7233 9312 9644 12416 13968 14466 18624 19288 21699 24832 27936 28932 37248 38576 43398 55872 57864 74496 77152 86796 111744 115728 154304 173592 223488 231456 233867 308608 347184 462912 467734 617216 694368 701601 925824 935468 1388736 1403202 1851648 1870936 2104803 2777472 2806404 3741872 4209606 5554944 5612808 7483744 8419212 11225616 14967488 16838424 22451232 29934976 33676848 44902464 59869952 67353696 89804928 134707392 179609856 269414784 538829568