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1389726208 = 2913216061
BaseRepresentation
bin101001011010101…
…1000101000000000
310120212000101222001
41102311120220000
510321232214313
6345522353344
746303322623
oct12265305000
93525011861
101389726208
11653511962
123294bb854
13191bc2400
14d27d9dba
1582015add
hex52d58a00

1389726208 has 60 divisors (see below), whose sum is σ = 3006950958. Its totient is φ = 641372160.

The previous prime is 1389726199. The next prime is 1389726257. The reversal of 1389726208 is 8026279831.

It can be written as a sum of positive squares in 3 ways, for example, as 257538304 + 1132187904 = 16048^2 + 33648^2 .

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 5 ways as a sum of consecutive naturals, for example, 78498 + ... + 94558.

Almost surely, 21389726208 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 1389726208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503475479).

1389726208 is an abundant number, since it is smaller than the sum of its proper divisors (1617224750).

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

1389726208 is an equidigital number, since it uses as much as digits as its factorization.

1389726208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16105 (or 16076 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 1389726208 is about 37279.0317470827. The cubic root of 1389726208 is about 1115.9457500297.

The spelling of 1389726208 in words is "one billion, three hundred eighty-nine million, seven hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1352 1664 2704 3328 5408 6656 10816 16061 21632 32122 43264 64244 86528 128488 208793 256976 417586 513952 835172 1027904 1670344 2055808 2714309 3340688 4111616 5428618 6681376 8223232 10857236 13362752 21714472 26725504 43428944 53451008 86857888 106902016 173715776 347431552 694863104 1389726208