Search a number
-
+
1388921768 = 231323121069
BaseRepresentation
bin101001011001001…
…0100001110101000
310120210111112110222
41102302110032220
510321030444033
6345453225212
746263432413
oct12262241650
93523445428
101388921768
11653012533
12329192208
131919a0200
14d266ab7a
1581e07598
hex52c943a8

1388921768 has 72 divisors (see below), whose sum is σ = 2916589950. Its totient is φ = 619781760.

The previous prime is 1388921741. The next prime is 1388921789. The reversal of 1388921768 is 8671298831.

It can be written as a sum of positive squares in 3 ways, for example, as 674856484 + 714065284 = 25978^2 + 26722^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1298738 + ... + 1299806.

Almost surely, 21388921768 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 1388921768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458294975).

1388921768 is an abundant number, since it is smaller than the sum of its proper divisors (1527668182).

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

1388921768 is a wasteful number, since it uses less digits than its factorization.

1388921768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1115 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 53.

The square root of 1388921768 is about 37268.2407419508. The cubic root of 1388921768 is about 1115.7303875449.

The spelling of 1388921768 in words is "one billion, three hundred eighty-eight million, nine hundred twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 169 248 338 403 676 806 961 1069 1352 1612 1922 2138 3224 3844 4276 5239 7688 8552 10478 12493 13897 20956 24986 27794 33139 41912 49972 55588 66278 99944 111176 132556 162409 180661 265112 324818 361322 430807 649636 722644 861614 1027309 1299272 1445288 1723228 2054618 3446456 4109236 5600491 8218472 11200982 13355017 22401964 26710034 44803928 53420068 106840136 173615221 347230442 694460884 1388921768