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638484 = 223711691
BaseRepresentation
bin10011011111000010100
31012102211120
42123320110
5130412414
621403540
75266320
oct2337024
91172746
10638484
113a6780
122695b0
13194802
14128980
15c92a9
hex9be14

638484 has 48 divisors (see below), whose sum is σ = 1860096. Its totient is φ = 165600.

The previous prime is 638467. The next prime is 638489. The reversal of 638484 is 484836.

638484 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638489) by changing a digit.

638484 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 15 ways as a sum of consecutive naturals, for example, 579 + ... + 1269.

It is an arithmetic number, because the mean of its divisors is an integer number (38752).

2638484 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 638484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930048).

638484 is an abundant number, since it is smaller than the sum of its proper divisors (1221612).

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

638484 is a wasteful number, since it uses less digits than its factorization.

638484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 714 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 638484 is about 799.0519382368. The cubic root of 638484 is about 86.1092895749.

The spelling of 638484 in words is "six hundred thirty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 691 924 1382 2073 2764 4146 4837 7601 8292 9674 14511 15202 19348 22803 29022 30404 45606 53207 58044 91212 106414 159621 212828 319242 638484