Search a number
-
+
5873401728 = 27327171809
BaseRepresentation
bin1010111100001010…
…01111111110000000
3120011022211201111100
411132011033332000
544012042323403
62410451214400
7265356043125
oct53605177600
916138751440
105873401728
112544422717
12117aba7400
13727aa174c
143da09674c
1524597c2a3
hex15e14ff80

5873401728 has 96 divisors (see below), whose sum is σ = 17139610800. Its totient is φ = 1930199040.

The previous prime is 5873401663. The next prime is 5873401747. The reversal of 5873401728 is 8271043785.

5873401728 is a `hidden beast` number, since 587 + 3 + 40 + 1 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45888 + ... + 117696.

Almost surely, 25873401728 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 5873401728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8569805400).

5873401728 is an abundant number, since it is smaller than the sum of its proper divisors (11266209072).

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

5873401728 is a wasteful number, since it uses less digits than its factorization.

5873401728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71900 (or 71885 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 5873401728 is about 76638.1218976561. The cubic root of 5873401728 is about 1804.2493972665.

The spelling of 5873401728 in words is "five billion, eight hundred seventy-three million, four hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 384 426 568 576 639 852 1136 1152 1278 1704 2272 2556 3408 4544 5112 6816 9088 10224 13632 20448 27264 40896 71809 81792 143618 215427 287236 430854 574472 646281 861708 1148944 1292562 1723416 2297888 2585124 3446832 4595776 5098439 5170248 6893664 9191552 10196878 10340496 13787328 15295317 20393756 20680992 27574656 30590634 40787512 41361984 45885951 61181268 81575024 82723968 91771902 122362536 163150048 183543804 244725072 326300096 367087608 489450144 652600192 734175216 978900288 1468350432 1957800576 2936700864 5873401728