Search a number
-
+
491224248 = 2332172317449
BaseRepresentation
bin11101010001110…
…111110010111000
31021020022202222200
4131101313302320
52001223133443
6120424350200
715113223444
oct3521676270
91236282880
10491224248
11232313059
12118615360
137aa01848
144934d824
152d1d2dd3
hex1d477cb8

491224248 has 96 divisors (see below), whose sum is σ = 1469988000. Its totient is φ = 147400704.

The previous prime is 491224241. The next prime is 491224289. The reversal of 491224248 is 842422194.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491224241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19428 + ... + 36876.

It is an arithmetic number, because the mean of its divisors is an integer number (15312375).

Almost surely, 2491224248 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 491224248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734994000).

491224248 is an abundant number, since it is smaller than the sum of its proper divisors (978763752).

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

491224248 is a wasteful number, since it uses less digits than its factorization.

491224248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17501 (or 17494 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 491224248 is about 22163.5793138202. The cubic root of 491224248 is about 789.0295448849.

The spelling of 491224248 in words is "four hundred ninety-one million, two hundred twenty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 552 612 782 828 1173 1224 1564 1656 2346 3128 3519 4692 7038 9384 14076 17449 28152 34898 52347 69796 104694 139592 157041 209388 296633 314082 401327 418776 593266 628164 802654 889899 1186532 1203981 1256328 1605308 1779798 2373064 2407962 2669697 3210616 3559596 3611943 4815924 5339394 6822559 7119192 7223886 9631848 10678788 13645118 14447772 20467677 21357576 27290236 28895544 40935354 54580472 61403031 81870708 122806062 163741416 245612124 491224248