Search a number
-
+
426633220 = 2251319671289
BaseRepresentation
bin11001011011011…
…110100000000100
31002201210012202101
4121123132200010
51333204230340
6110200121444
713400215426
oct3133364004
91081705671
10426633220
111a9906942
12baa66284
136a507cc0
1440938816
15276c4c9a
hex196de804

426633220 has 96 divisors (see below), whose sum is σ = 1031587200. Its totient is φ = 146893824.

The previous prime is 426633211. The next prime is 426633227. The reversal of 426633220 is 22336624.

It is not an unprimeable number, because it can be changed into a prime (426633227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 330336 + ... + 331624.

It is an arithmetic number, because the mean of its divisors is an integer number (10745700).

Almost surely, 2426633220 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 426633220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515793600).

426633220 is an abundant number, since it is smaller than the sum of its proper divisors (604953980).

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

426633220 is a wasteful number, since it uses less digits than its factorization.

426633220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 426633220 is about 20655.1015490121. The cubic root of 426633220 is about 752.8091510168.

Adding to 426633220 its reverse (22336624), we get a palindrome (448969844).

The spelling of 426633220 in words is "four hundred twenty-six million, six hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 67 76 95 130 134 190 247 260 268 335 380 494 670 871 988 1235 1273 1289 1340 1742 2470 2546 2578 3484 4355 4940 5092 5156 6365 6445 8710 12730 12890 16549 16757 17420 24491 25460 25780 33098 33514 48982 66196 67028 82745 83785 86363 97964 122455 165490 167570 172726 244910 318383 330980 335140 345452 431815 489820 636766 863630 1122719 1273532 1591915 1640897 1727260 2245438 3183830 3281794 4490876 5613595 6367660 6563588 8204485 11227190 16408970 21331661 22454380 32817940 42663322 85326644 106658305 213316610 426633220