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638704638 = 2321113248137
BaseRepresentation
bin100110000100011…
…101101111111110
31122111211120001100
4212010131233332
52302002022023
6143213353530
721553620435
oct4604355776
91574746040
10638704638
112a8594280
12159a988a6
13a242a950
1460b8011c
153b115c43
hex2611dbfe

638704638 has 48 divisors (see below), whose sum is σ = 1625800176. Its totient is φ = 178657920.

The previous prime is 638704631. The next prime is 638704657. The reversal of 638704638 is 836407836.

638704638 is a `hidden beast` number, since 6 + 3 + 8 + 7 + 0 + 4 + 638 = 666.

It is a super-2 number, since 2×6387046382 = 815887229205422088, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 638704593 and 638704602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638704631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121495 + ... + 126642.

It is an arithmetic number, because the mean of its divisors is an integer number (33870837).

Almost surely, 2638704638 is an apocalyptic number.

638704638 is an abundant number, since it is smaller than the sum of its proper divisors (987095538).

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

638704638 is a wasteful number, since it uses less digits than its factorization.

638704638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248169 (or 248166 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 638704638 is about 25272.6064742044. The cubic root of 638704638 is about 861.1920723058.

The spelling of 638704638 in words is "six hundred thirty-eight million, seven hundred four thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 248137 496274 744411 1488822 2233233 2729507 3225781 4466466 5459014 6451562 8188521 9677343 16377042 19354686 24565563 29032029 35483591 49131126 58064058 70967182 106450773 212901546 319352319 638704638