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493819088 = 24731413469
BaseRepresentation
bin11101011011110…
…001010011010000
31021102012121102212
4131123301103100
52002404202323
6121000131252
715144251540
oct3533612320
91242177385
10493819088
11233825654
12119466b28
137b3cc959
1449827320
152d546b78
hex1d6f14d0

493819088 has 80 divisors (see below), whose sum is σ = 1156592640. Its totient is φ = 199756800.

The previous prime is 493819087. The next prime is 493819093. The reversal of 493819088 is 880918394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493819087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140618 + ... + 144086.

It is an arithmetic number, because the mean of its divisors is an integer number (14457408).

Almost surely, 2493819088 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 493819088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578296320).

493819088 is an abundant number, since it is smaller than the sum of its proper divisors (662773552).

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

493819088 is a wasteful number, since it uses less digits than its factorization.

493819088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The square root of 493819088 is about 22222.0405903688. The cubic root of 493819088 is about 790.4164273578.

The spelling of 493819088 in words is "four hundred ninety-three million, eight hundred nineteen thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 62 82 112 124 164 217 248 287 328 434 496 574 656 868 1148 1271 1736 2296 2542 3469 3472 4592 5084 6938 8897 10168 13876 17794 20336 24283 27752 35588 48566 55504 71176 97132 107539 142229 142352 194264 215078 284458 388528 430156 568916 752773 860312 995603 1137832 1505546 1720624 1991206 2275664 3011092 3982412 4409099 6022184 7964824 8818198 12044368 15929648 17636396 30863693 35272792 61727386 70545584 123454772 246909544 493819088