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638161836 = 2231397181233
BaseRepresentation
bin100110000010011…
…001001110101100
31122110210222110120
4212002121032230
52301332134321
6143154004540
721546200064
oct4602311654
91573728416
10638161836
112a8253484
12159876750
13a229a870
1460a7c3a4
153b059ec6
hex260993ac

638161836 has 96 divisors (see below), whose sum is σ = 1636060608. Its totient is φ = 192430080.

The previous prime is 638161819. The next prime is 638161837.

638161836 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (638161837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2738776 + ... + 2739008.

It is an arithmetic number, because the mean of its divisors is an integer number (17042298).

Almost surely, 2638161836 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 638161836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818030304).

638161836 is an abundant number, since it is smaller than the sum of its proper divisors (997898772).

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

638161836 is a wasteful number, since it uses less digits than its factorization.

638161836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 529 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 638161836 is about 25261.8652517980. The cubic root of 638161836 is about 860.9480423132.

The spelling of 638161836 in words is "six hundred thirty-eight million, one hundred sixty-one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 181 194 233 291 362 388 466 543 582 699 724 932 1086 1164 1261 1398 2172 2353 2522 2796 3029 3783 4706 5044 6058 7059 7566 9087 9412 12116 14118 15132 17557 18174 22601 28236 35114 36348 42173 45202 52671 67803 70228 84346 90404 105342 126519 135606 168692 210684 228241 253038 271212 293813 456482 506076 548249 587626 684723 881439 912964 1096498 1175252 1369446 1644747 1762878 2192996 2738892 3289494 3525756 4090781 6578988 8181562 12272343 16363124 24544686 49089372 53180153 106360306 159540459 212720612 319080918 638161836