Search a number
-
+
493384140 = 2232510925147
BaseRepresentation
bin11101011010000…
…111000111001100
31021101101111210200
4131122013013030
52002301243030
6120542533500
715140460504
oct3532070714
91241344720
10493384140
11233558897
12119297290
137b2a99a2
1449752a04
152d4acd60
hex1d6871cc

493384140 has 72 divisors (see below), whose sum is σ = 1510388880. Its totient is φ = 130356864.

The previous prime is 493384139. The next prime is 493384187. The reversal of 493384140 is 41483394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 493384095 and 493384104.

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, 7047 + ... + 32193.

Almost surely, 2493384140 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 493384140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755194440).

493384140 is an abundant number, since it is smaller than the sum of its proper divisors (1017004740).

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

493384140 is a wasteful number, since it uses less digits than its factorization.

493384140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25271 (or 25266 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 493384140 is about 22212.2520245022. The cubic root of 493384140 is about 790.1842971189.

The spelling of 493384140 in words is "four hundred ninety-three million, three hundred eighty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 19620 25147 50294 75441 100588 125735 150882 226323 251470 301764 377205 452646 502940 754410 905292 1131615 1508820 2263230 2741023 4526460 5482046 8223069 10964092 13705115 16446138 24669207 27410230 32892276 41115345 49338414 54820460 82230690 98676828 123346035 164461380 246692070 493384140