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538842096 = 243213535431
BaseRepresentation
bin100000000111100…
…001001111110000
31101112221000101200
4200013201033300
52100420421341
6125245131200
716232040132
oct4007411760
91345830350
10538842096
11257187051
12130559b00
13878348a0
14517c7052
153248bdb6
hex201e13f0

538842096 has 120 divisors (see below), whose sum is σ = 1654956576. Its totient is φ = 162639360.

The previous prime is 538842079. The next prime is 538842107. The reversal of 538842096 is 690248835.

538842096 is a `hidden beast` number, since 538 + 8 + 4 + 20 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96501 + ... + 101931.

Almost surely, 2538842096 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 538842096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827478288).

538842096 is an abundant number, since it is smaller than the sum of its proper divisors (1116114480).

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

538842096 is a wasteful number, since it uses less digits than its factorization.

538842096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 538842096 is about 23212.9725800036. The cubic root of 538842096 is about 813.7428249419.

The spelling of 538842096 in words is "five hundred thirty-eight million, eight hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 53 72 78 104 106 117 144 156 159 208 212 234 312 318 424 468 477 624 636 689 848 936 954 1272 1378 1872 1908 2067 2544 2756 3816 4134 5431 5512 6201 7632 8268 10862 11024 12402 16293 16536 21724 24804 32586 33072 43448 48879 49608 65172 70603 86896 97758 99216 130344 141206 195516 211809 260688 282412 287843 391032 423618 564824 575686 635427 782064 847236 863529 1129648 1151372 1270854 1694472 1727058 2302744 2541708 2590587 3388944 3454116 3741959 4605488 5083416 5181174 6908232 7483918 10166832 10362348 11225877 13816464 14967836 20724696 22451754 29935672 33677631 41449392 44903508 59871344 67355262 89807016 134710524 179614032 269421048 538842096