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482664 = 233713217
BaseRepresentation
bin1110101110101101000
3220112002110
41311311220
5110421124
614202320
74050120
oct1656550
9815073
10482664
112aa6a6
121b33a0
1313b900
14c7c80
1598029
hex75d68

482664 has 96 divisors (see below), whose sum is σ = 1581120. Its totient is φ = 119808.

The previous prime is 482663. The next prime is 482683. The reversal of 482664 is 466284.

482664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (482663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28384 + ... + 28400.

It is an arithmetic number, because the mean of its divisors is an integer number (16470).

2482664 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 482664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790560).

482664 is an abundant number, since it is smaller than the sum of its proper divisors (1098456).

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

482664 is a wasteful number, since it uses less digits than its factorization.

482664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 42 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 482664 is about 694.7402392261. The cubic root of 482664 is about 78.4419357766.

The spelling of 482664 in words is "four hundred eighty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 169 182 204 221 238 273 312 338 357 364 408 442 476 507 546 663 676 714 728 884 952 1014 1092 1183 1326 1352 1428 1547 1768 2028 2184 2366 2652 2856 2873 3094 3549 4056 4641 4732 5304 5746 6188 7098 8619 9282 9464 11492 12376 14196 17238 18564 20111 22984 28392 34476 37128 40222 60333 68952 80444 120666 160888 241332 482664