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468441 = 32233173
BaseRepresentation
bin1110010010111011001
3212210120200
41302113121
5104442231
614012413
73660501
oct1622731
9783520
10468441
1129aa46
121a7109
131352ac
14c2a01
1593be6
hex725d9

468441 has 24 divisors (see below), whose sum is σ = 738816. Its totient is φ = 285120.

The previous prime is 468439. The next prime is 468451. The reversal of 468441 is 144864.

It can be divided in two parts, 468 and 441, that added together give a palindrome (909).

It is not a de Polignac number, because 468441 - 21 = 468439 is a prime.

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 468441.

It is not an unprimeable number, because it can be changed into a prime (468421) 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, 6381 + ... + 6453.

It is an arithmetic number, because the mean of its divisors is an integer number (30784).

2468441 is an apocalyptic number.

It is an amenable number.

468441 is a deficient number, since it is larger than the sum of its proper divisors (270375).

468441 is a wasteful number, since it uses less digits than its factorization.

468441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

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

The square root of 468441 is about 684.4274979865. The cubic root of 468441 is about 77.6637398329.

The spelling of 468441 in words is "four hundred sixty-eight thousand, four hundred forty-one".

Divisors: 1 3 9 23 31 69 73 93 207 219 279 657 713 1679 2139 2263 5037 6417 6789 15111 20367 52049 156147 468441