Search a number
-
+
1688139888 = 24353976841
BaseRepresentation
bin110010010011110…
…1111100001110000
311100122112101120120
41210213233201300
511424130434023
6435302410240
756555644431
oct14447574160
94318471516
101688139888
11796a02536
123b1430980
1320b986156
141202b9488
159d30e8e3
hex649ef870

1688139888 has 80 divisors (see below), whose sum is σ = 4489775136. Its totient is φ = 546324480.

The previous prime is 1688139877. The next prime is 1688139961. The reversal of 1688139888 is 8889318861.

1688139888 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243348 + ... + 250188.

Almost surely, 21688139888 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 1688139888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244887568).

1688139888 is an abundant number, since it is smaller than the sum of its proper divisors (2801635248).

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

1688139888 is a wasteful number, since it uses less digits than its factorization.

1688139888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 6996 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 60.

The square root of 1688139888 is about 41086.9795434028. The cubic root of 1688139888 is about 1190.7012527572.

The spelling of 1688139888 in words is "one billion, six hundred eighty-eight million, one hundred thirty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 97 106 159 194 212 291 318 388 424 582 636 776 848 1164 1272 1552 2328 2544 4656 5141 6841 10282 13682 15423 20523 20564 27364 30846 41046 41128 54728 61692 82092 82256 109456 123384 164184 246768 328368 362573 663577 725146 1087719 1327154 1450292 1990731 2175438 2654308 2900584 3981462 4350876 5308616 5801168 7962924 8701752 10617232 15925848 17403504 31851696 35169581 70339162 105508743 140678324 211017486 281356648 422034972 562713296 844069944 1688139888