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638327116 = 22731947521
BaseRepresentation
bin100110000011000…
…001100101001100
31122111010101012001
4212003001211030
52301402431431
6143201322044
721550456000
oct4603014514
91574111161
10638327116
112a8356679
12159936324
13a2327b6b
1460ac2700
153b08de61
hex260c194c

638327116 has 96 divisors (see below), whose sum is σ = 1403136000. Its totient is φ = 253169280.

The previous prime is 638327113. The next prime is 638327147. The reversal of 638327116 is 611723836.

It is not an unprimeable number, because it can be changed into a prime (638327113) 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 31 ways as a sum of consecutive naturals, for example, 1224936 + ... + 1225456.

It is an arithmetic number, because the mean of its divisors is an integer number (14616000).

Almost surely, 2638327116 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 638327116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701568000).

638327116 is an abundant number, since it is smaller than the sum of its proper divisors (764808884).

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

638327116 is a wasteful number, since it uses less digits than its factorization.

638327116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 596 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 638327116 is about 25265.1363740630. The cubic root of 638327116 is about 861.0223626509.

The spelling of 638327116 in words is "six hundred thirty-eight million, three hundred twenty-seven thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 47 49 76 94 98 133 188 196 266 329 343 521 532 658 686 893 931 1042 1316 1372 1786 1862 2084 2303 3572 3647 3724 4606 6251 6517 7294 9212 9899 12502 13034 14588 16121 19798 24487 25004 25529 26068 32242 39596 43757 48974 51058 64484 69293 87514 97948 102116 138586 171409 175028 178703 277172 306299 342818 357406 465253 485051 612598 685636 714812 930506 970102 1199863 1225196 1861012 1940204 2399726 3256771 3395357 4799452 6513542 6790714 8399041 13027084 13581428 16798082 22797397 33596164 45594794 91189588 159581779 319163558 638327116