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426042180 = 2236529221
BaseRepresentation
bin11001011001001…
…110001101000100
31002200200012000000
4121121032031010
51333031322210
6110135321300
713362204324
oct3131161504
91080605000
10426042180
111a9542883
12ba820230
136a35bc85
1440823284
1527609ac0
hex1964e344

426042180 has 84 divisors (see below), whose sum is σ = 1341465132. Its totient is φ = 113607360.

The previous prime is 426042163. The next prime is 426042191. The reversal of 426042180 is 81240624.

426042180 is a `hidden beast` number, since 42 + 604 + 2 + 18 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64738116 + 361304064 = 8046^2 + 19008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 31 + ... + 29190.

It is an arithmetic number, because the mean of its divisors is an integer number (15969823).

Almost surely, 2426042180 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 426042180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670732566).

426042180 is an abundant number, since it is smaller than the sum of its proper divisors (915422952).

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

426042180 is a wasteful number, since it uses less digits than its factorization.

426042180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29248 (or 29231 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 426042180 is about 20640.7892290968. The cubic root of 426042180 is about 752.4613534823.

The spelling of 426042180 in words is "four hundred twenty-six million, forty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 29221 58442 87663 116884 146105 175326 262989 292210 350652 438315 525978 584420 788967 876630 1051956 1314945 1577934 1753260 2366901 2629890 3155868 3944835 4733802 5259780 7100703 7889670 9467604 11834505 14201406 15779340 21302109 23669010 28402812 35503515 42604218 47338020 71007030 85208436 106510545 142014060 213021090 426042180