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493933088 = 25114332633
BaseRepresentation
bin11101011100001…
…101001000100000
31021102102101211002
4131130031020200
52002421324323
6121002411132
715145235105
oct3534151040
91242371732
10493933088
112338a3270
12119500aa8
137b43c7cc
1449856aac
152d56a828
hex1d70d220

493933088 has 48 divisors (see below), whose sum is σ = 1085537376. Its totient is φ = 219287040.

The previous prime is 493933049. The next prime is 493933103. The reversal of 493933088 is 880339394.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1181 + ... + 31452.

It is an arithmetic number, because the mean of its divisors is an integer number (22615362).

Almost surely, 2493933088 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 493933088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542768688).

493933088 is an abundant number, since it is smaller than the sum of its proper divisors (591604288).

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

493933088 is a wasteful number, since it uses less digits than its factorization.

493933088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32697 (or 32689 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 47.

The square root of 493933088 is about 22224.6054633148. The cubic root of 493933088 is about 790.4772462163.

The spelling of 493933088 in words is "four hundred ninety-three million, nine hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7568 15136 32633 65266 130532 261064 358963 522128 717926 1044256 1403219 1435852 2806438 2871704 5612876 5743408 11225752 11486816 15435409 22451504 30870818 44903008 61741636 123483272 246966544 493933088