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482112 = 263531
BaseRepresentation
bin1110101101101000000
3220111100000
41311231000
5110411422
614200000
74045401
oct1655500
9814300
10482112
112aa244
121b3000
1313b597
14c79a8
1597cac
hex75b40

482112 has 84 divisors (see below), whose sum is σ = 1479296. Its totient is φ = 155520.

The previous prime is 482101. The next prime is 482117. The reversal of 482112 is 211284.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an Ulam number.

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 482112.

It is not an unprimeable number, because it can be changed into a prime (482117) by changing a digit.

482112 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 11 ways as a sum of consecutive naturals, for example, 15537 + ... + 15567.

2482112 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 482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739648).

482112 is an abundant number, since it is smaller than the sum of its proper divisors (997184).

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

482112 is an equidigital number, since it uses as much as digits as its factorization.

482112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 482112 is about 694.3428547915. The cubic root of 482112 is about 78.4120209251.

Adding to 482112 its reverse (211284), we get a palindrome (693396).

The spelling of 482112 in words is "four hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 243 248 279 288 324 372 432 486 496 558 576 648 744 837 864 972 992 1116 1296 1488 1674 1728 1944 1984 2232 2511 2592 2976 3348 3888 4464 5022 5184 5952 6696 7533 7776 8928 10044 13392 15066 15552 17856 20088 26784 30132 40176 53568 60264 80352 120528 160704 241056 482112