Search a number
-
+
282466828 = 22743283829
BaseRepresentation
bin10000110101100…
…001101000001100
3201200111210122101
4100311201220030
51034302414303
644010124444
76666633310
oct2065415014
9650453571
10282466828
11135499566
127a720724
134669c447
142972bb40
1519be8d1d
hex10d61a0c

282466828 has 48 divisors (see below), whose sum is σ = 580814080. Its totient is φ = 117681984.

The previous prime is 282466819. The next prime is 282466831. The reversal of 282466828 is 828664282.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340318 + ... + 341146.

Almost surely, 2282466828 is an apocalyptic number.

282466828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282466828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290407040).

282466828 is an abundant number, since it is smaller than the sum of its proper divisors (298347252).

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

282466828 is a wasteful number, since it uses less digits than its factorization.

282466828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1164 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 282466828 is about 16806.7494775165. The cubic root of 282466828 is about 656.1288755078.

The spelling of 282466828 in words is "two hundred eighty-two million, four hundred sixty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 28 43 86 172 283 301 566 602 829 1132 1204 1658 1981 3316 3962 5803 7924 11606 12169 23212 24338 35647 48676 71294 85183 142588 170366 234607 249529 340732 469214 499058 938428 998116 1642249 3284498 6568996 10088101 20176202 40352404 70616707 141233414 282466828