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480282 = 231119383
BaseRepresentation
bin1110101010000011010
3220101211020
41311100122
5110332112
614143310
74040145
oct1652032
9811736
10480282
112a8930
121b1b36
1313a7ba
14c705c
159748c
hex7541a

480282 has 32 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 137520.

The previous prime is 480209. The next prime is 480287. The reversal of 480282 is 282084.

480282 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480282.

It is not an unprimeable number, because it can be changed into a prime (480287) by changing a digit.

480282 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (34560).

2480282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

480282 is an abundant number, since it is smaller than the sum of its proper divisors (625638).

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

480282 is a wasteful number, since it uses less digits than its factorization.

480282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 480282 is about 693.0238091148. The cubic root of 480282 is about 78.3126830532.

It can be divided in two parts, 4802 and 82, that added together give a palindrome (4884).

The spelling of 480282 in words is "four hundred eighty thousand, two hundred eighty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 383 418 627 766 1149 1254 2298 4213 7277 8426 12639 14554 21831 25278 43662 80047 160094 240141 480282