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638675268 = 2237112312027
BaseRepresentation
bin100110000100010…
…110100101000100
31122111210001202120
4212010112211010
52302000102033
6143213005540
721553436010
oct4604264504
91574701676
10638675268
112a8574200
12159a838b0
13a241a47a
1460b73540
153b10c1b3
hex26116944

638675268 has 144 divisors (see below), whose sum is σ = 1933381632. Its totient is φ = 160459200.

The previous prime is 638675251. The next prime is 638675309. The reversal of 638675268 is 862576836.

It is a self number, because there is not a number n which added to its sum of digits gives 638675268.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 314071 + ... + 316097.

Almost surely, 2638675268 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 638675268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966690816).

638675268 is an abundant number, since it is smaller than the sum of its proper divisors (1294706364).

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

638675268 is a wasteful number, since it uses less digits than its factorization.

638675268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2081 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 638675268 is about 25272.0254035960. The cubic root of 638675268 is about 861.1788718386.

The spelling of 638675268 in words is "six hundred thirty-eight million, six hundred seventy-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 121 124 132 154 186 217 231 242 308 341 363 372 434 462 484 651 682 726 847 868 924 1023 1302 1364 1452 1694 2027 2046 2387 2541 2604 3388 3751 4054 4092 4774 5082 6081 7161 7502 8108 9548 10164 11253 12162 14189 14322 15004 22297 22506 24324 26257 28378 28644 42567 44594 45012 52514 56756 62837 66891 78771 85134 89188 105028 125674 133782 156079 157542 170268 188511 245267 251348 267564 312158 315084 377022 439859 468237 490534 624316 691207 735801 754044 879718 936474 981068 1319577 1382414 1471602 1716869 1759436 1872948 2073621 2639154 2764828 2943204 3433738 4147242 4838449 5150607 5278308 6867476 7603277 8294484 9676898 10301214 14515347 15206554 19353796 20602428 22809831 29030694 30413108 45619662 53222939 58061388 91239324 106445878 159668817 212891756 319337634 638675268