Search a number
-
+
290027608 = 2313232937113
BaseRepresentation
bin10001010010010…
…111100001011000
3202012201221002021
4101102113201120
51043221340413
644440144224
710121123353
oct2122274130
9665657067
10290027608
11139793042
1281168074
1348118990
142a73929a
151a6de18d
hex11497858

290027608 has 128 divisors (see below), whose sum is σ = 654998400. Its totient is φ = 119218176.

The previous prime is 290027603. The next prime is 290027623. The reversal of 290027608 is 806720092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290027603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2566560 + ... + 2566672.

It is an arithmetic number, because the mean of its divisors is an integer number (5117175).

Almost surely, 2290027608 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 290027608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327499200).

290027608 is an abundant number, since it is smaller than the sum of its proper divisors (364970792).

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

290027608 is a wasteful number, since it uses less digits than its factorization.

290027608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 290027608 is about 17030.1969454261. The cubic root of 290027608 is about 661.9315987657.

The spelling of 290027608 in words is "two hundred ninety million, twenty-seven thousand, six hundred eight".

Divisors: 1 2 4 8 13 23 26 29 37 46 52 58 74 92 104 113 116 148 184 226 232 296 299 377 452 481 598 667 754 851 904 962 1073 1196 1334 1469 1508 1702 1924 2146 2392 2599 2668 2938 3016 3277 3404 3848 4181 4292 5198 5336 5876 6554 6808 8362 8584 8671 10396 11063 11752 13108 13949 16724 17342 20792 22126 24679 26216 27898 33448 33787 34684 42601 44252 49358 54353 55796 67574 69368 75371 85202 88504 96163 98716 108706 111592 121249 135148 150742 170404 192326 197432 217412 242498 270296 301484 320827 340808 384652 434824 484996 602968 641654 769304 969992 979823 1250119 1283308 1576237 1959646 2500238 2566616 2788727 3152474 3919292 5000476 5577454 6304948 7838584 10000952 11154908 12609896 22309816 36253451 72506902 145013804 290027608