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638064 = 24337211
BaseRepresentation
bin10011011110001110000
31012102021000
42123301300
5130404224
621402000
75265150
oct2336160
91172230
10638064
113a6429
12269300
1319456b
14128760
15c90c9
hex9bc70

638064 has 80 divisors (see below), whose sum is σ = 2103040. Its totient is φ = 181440.

The previous prime is 638063. The next prime is 638081. The reversal of 638064 is 460836.

638064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 638064.

It is not an unprimeable number, because it can be changed into a prime (638063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2919 + ... + 3129.

It is an arithmetic number, because the mean of its divisors is an integer number (26288).

2638064 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 638064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051520).

638064 is an abundant number, since it is smaller than the sum of its proper divisors (1464976).

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

638064 is a wasteful number, since it uses less digits than its factorization.

638064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 638064 is about 798.7890835508. The cubic root of 638064 is about 86.0904043016.

638064 divided by its sum of digits (27) gives a palindrome (23632).

The spelling of 638064 in words is "six hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 211 216 252 336 378 422 432 504 633 756 844 1008 1266 1477 1512 1688 1899 2532 2954 3024 3376 3798 4431 5064 5697 5908 7596 8862 10128 11394 11816 13293 15192 17724 22788 23632 26586 30384 35448 39879 45576 53172 70896 79758 91152 106344 159516 212688 319032 638064