Search a number
-
+
2008057389 = 3131923591997
BaseRepresentation
bin111011110110000…
…1000011000101101
312011221111212212220
41313230020120231
513103030314024
6531131345553
7100522130502
oct16754103055
95157455786
102008057389
11940550268
124805b22b9
13260038950
141509954a9
15bb454e79
hex77b0862d

2008057389 has 64 divisors (see below), whose sum is σ = 3222374400. Its totient is φ = 1100259072.

The previous prime is 2008057379. The next prime is 2008057399. The reversal of 2008057389 is 9837508002.

2008057389 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2008057379) and next prime (2008057399).

It is a de Polignac number, because none of the positive numbers 2k-2008057389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2008057389.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008057309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1004539 + ... + 1006535.

It is an arithmetic number, because the mean of its divisors is an integer number (50349600).

Almost surely, 22008057389 is an apocalyptic number.

It is an amenable number.

2008057389 is a deficient number, since it is larger than the sum of its proper divisors (1214317011).

2008057389 is a wasteful number, since it uses less digits than its factorization.

2008057389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2008057389 is about 44811.3533493466. The cubic root of 2008057389 is about 1261.6107285239.

The spelling of 2008057389 in words is "two billion, eight million, fifty-seven thousand, three hundred eighty-nine".

Divisors: 1 3 13 19 23 39 57 59 69 177 247 299 437 741 767 897 1121 1311 1357 1997 2301 3363 4071 5681 5991 14573 17043 17641 25783 25961 37943 43719 45931 52923 77349 77883 113829 117823 137793 335179 353469 493259 597103 872689 1005537 1479777 1531699 1791309 2238637 2618067 2709929 4595097 6715911 8129787 11344957 29102281 34034871 35229077 51488651 87306843 105687231 154465953 669352463 2008057389