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482328 = 233371129
BaseRepresentation
bin1110101110000011000
3220111122000
41311300120
5110413303
614201000
74046130
oct1656030
9814560
10482328
112aa420
121b3160
1313b702
14c7ac0
1597da3
hex75c18

482328 has 128 divisors (see below), whose sum is σ = 1728000. Its totient is φ = 120960.

The previous prime is 482323. The next prime is 482347. The reversal of 482328 is 823284.

482328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (482323) by changing a digit.

482328 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 31 ways as a sum of consecutive naturals, for example, 16618 + ... + 16646.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2482328 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 482328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864000).

482328 is an abundant number, since it is smaller than the sum of its proper divisors (1245672).

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

482328 is a wasteful number, since it uses less digits than its factorization.

482328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 52 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 482328 is about 694.4983801277. The cubic root of 482328 is about 78.4237294546.

Multiplying 482328 by its sum of digits (27), we get a triangular number (13022856 = T5103).

It can be divided in two parts, 4823 and 28, that added together give a triangular number (4851 = T98).

The spelling of 482328 in words is "four hundred eighty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 29 33 36 42 44 54 56 58 63 66 72 77 84 87 88 99 108 116 126 132 154 168 174 189 198 203 216 231 232 252 261 264 297 308 319 348 378 396 406 462 504 522 594 609 616 638 693 696 756 783 792 812 924 957 1044 1188 1218 1276 1386 1512 1566 1624 1827 1848 1914 2079 2088 2233 2376 2436 2552 2772 2871 3132 3654 3828 4158 4466 4872 5481 5544 5742 6264 6699 7308 7656 8316 8613 8932 10962 11484 13398 14616 16632 17226 17864 20097 21924 22968 26796 34452 40194 43848 53592 60291 68904 80388 120582 160776 241164 482328