Search a number
-
+
389769016 = 237136167131
BaseRepresentation
bin10111001110110…
…110011100111000
31000011102022120111
4113032312130320
51244240102031
6102402034104
712441660550
oct2716663470
91004368514
10389769016
1119001825a
12aa648934
136299b870
1439aa0160
15243421b1
hex173b6738

389769016 has 128 divisors (see below), whose sum is σ = 934940160. Its totient is φ = 148262400.

The previous prime is 389769011. The next prime is 389769043. The reversal of 389769016 is 610967983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (389769011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975271 + ... + 2975401.

It is an arithmetic number, because the mean of its divisors is an integer number (7304220).

Almost surely, 2389769016 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 389769016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467470080).

389769016 is an abundant number, since it is smaller than the sum of its proper divisors (545171144).

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

389769016 is a wasteful number, since it uses less digits than its factorization.

389769016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The square root of 389769016 is about 19742.5686272076. The cubic root of 389769016 is about 730.4700894108.

The spelling of 389769016 in words is "three hundred eighty-nine million, seven hundred sixty-nine thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 61 67 91 104 122 131 134 182 244 262 268 364 427 469 488 524 536 728 793 854 871 917 938 1048 1586 1703 1708 1742 1834 1876 3172 3406 3416 3484 3668 3752 4087 5551 6097 6344 6812 6968 7336 7991 8174 8777 11102 11921 12194 13624 15982 16348 17554 22204 23842 24388 28609 31964 32696 35108 44408 47684 48776 53131 55937 57218 61439 63928 70216 95368 103883 106262 111874 114101 114436 122878 207766 212524 223748 228202 228872 245756 371917 415532 425048 447496 456404 491512 535397 727181 743834 798707 831064 912808 1070794 1454362 1487668 1597414 2141588 2908724 2975336 3194828 3747779 4283176 5817448 6389656 6960161 7495558 13920322 14991116 27840644 29982232 48721127 55681288 97442254 194884508 389769016