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482256 = 243217197
BaseRepresentation
bin1110101101111010000
3220111112100
41311233100
5110413011
614200400
74045665
oct1655720
9814470
10482256
112aa365
121b3100
1313b678
14c7a6c
1597d56
hex75bd0

482256 has 60 divisors (see below), whose sum is σ = 1436292. Its totient is φ = 150528.

The previous prime is 482243. The next prime is 482263. The reversal of 482256 is 652284.

It can be written as a sum of positive squares in 2 ways, for example, as 435600 + 46656 = 660^2 + 216^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 482256.

It is an unprimeable number.

482256 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 2350 + ... + 2546.

2482256 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 482256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718146).

482256 is an abundant number, since it is smaller than the sum of its proper divisors (954036).

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

482256 is a wasteful number, since it uses less digits than its factorization.

482256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 482256 is about 694.4465422191. The cubic root of 482256 is about 78.4198269999.

It can be divided in two parts, 48 and 2256, that added together give a square (2304 = 482).

The spelling of 482256 in words is "four hundred eighty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 197 204 272 306 394 408 591 612 788 816 1182 1224 1576 1773 2364 2448 3152 3349 3546 4728 6698 7092 9456 10047 13396 14184 20094 26792 28368 30141 40188 53584 60282 80376 120564 160752 241128 482256