Search a number
-
+
493704198 = 232139721751
BaseRepresentation
bin11101011011010…
…101010000000110
31021101222202211200
4131123111100012
52002342013243
6120553443330
715143262561
oct3533252006
91241882750
10493704198
112337572a9
12119410546
137b38c580
14497d74d8
152d522ad3
hex1d6d5406

493704198 has 48 divisors (see below), whose sum is σ = 1163906016. Its totient is φ = 150336000.

The previous prime is 493704187. The next prime is 493704217. The reversal of 493704198 is 891407394.

493704198 is a `hidden beast` number, since 493 + 70 + 4 + 1 + 98 = 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, 11823 + ... + 33573.

It is an arithmetic number, because the mean of its divisors is an integer number (24248042).

Almost surely, 2493704198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493704198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581953008).

493704198 is an abundant number, since it is smaller than the sum of its proper divisors (670201818).

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

493704198 is a wasteful number, since it uses less digits than its factorization.

493704198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21869 (or 21866 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 493704198 is about 22219.4553938660. The cubic root of 493704198 is about 790.3551242146.

The spelling of 493704198 in words is "four hundred ninety-three million, seven hundred four thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 194 234 291 582 873 1261 1746 2522 3783 7566 11349 21751 22698 43502 65253 130506 195759 282763 391518 565526 848289 1696578 2109847 2544867 4219694 5089734 6329541 12659082 18988623 27428011 37977246 54856022 82284033 164568066 246852099 493704198