Search a number
-
+
491821820 = 225723116189
BaseRepresentation
bin11101010100001…
…001101011111100
31021021110010200222
4131110021223330
52001401244240
6120445240512
715121262600
oct3524115374
91237403628
10491821820
11232691016
12118863138
137ab80839
1449467500
152d29eeb5
hex1d509afc

491821820 has 72 divisors (see below), whose sum is σ = 1240283520. Its totient is φ = 163175040.

The previous prime is 491821801. The next prime is 491821853. The reversal of 491821820 is 28128194.

It is a super-2 number, since 2×4918218202 = 483777405256224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 22286 + ... + 38474.

It is an arithmetic number, because the mean of its divisors is an integer number (17226160).

Almost surely, 2491821820 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 491821820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620141760).

491821820 is an abundant number, since it is smaller than the sum of its proper divisors (748461700).

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

491821820 is a wasteful number, since it uses less digits than its factorization.

491821820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16243 (or 16234 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 491821820 is about 22177.0561617181. The cubic root of 491821820 is about 789.3493654834.

The spelling of 491821820 in words is "four hundred ninety-one million, eight hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 3038 4340 6076 7595 15190 16189 30380 32378 64756 80945 113323 161890 226646 323780 453292 501859 566615 793261 1003718 1133230 1586522 2007436 2266460 2509295 3173044 3513013 3966305 5018590 7026026 7932610 10037180 14052052 15865220 17565065 24591091 35130130 49182182 70260260 98364364 122955455 245910910 491821820