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484288 = 2672347
BaseRepresentation
bin1110110001111000000
3220121022121
41312033000
5110444123
614214024
74054630
oct1661700
9817277
10484288
11300942
121b4314
1313c57c
14c86c0
159875d
hex763c0

484288 has 56 divisors (see below), whose sum is σ = 1170432. Its totient is φ = 194304.

The previous prime is 484283. The next prime is 484301. The reversal of 484288 is 882484.

It is a tau number, because it is divible by the number of its divisors (56).

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 (484283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10281 + ... + 10327.

2484288 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 484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585216).

484288 is an abundant number, since it is smaller than the sum of its proper divisors (686144).

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

484288 is a wasteful number, since it uses less digits than its factorization.

484288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 484288 is about 695.9080399018. The cubic root of 484288 is about 78.5298140908.

The spelling of 484288 in words is "four hundred eighty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 47 56 64 92 94 112 161 184 188 224 322 329 368 376 448 644 658 736 752 1081 1288 1316 1472 1504 2162 2576 2632 3008 4324 5152 5264 7567 8648 10304 10528 15134 17296 21056 30268 34592 60536 69184 121072 242144 484288