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426426112 = 287476183
BaseRepresentation
bin11001011010101…
…011111100000000
31002201101200122201
4121122223330000
51333131113422
6110151442544
713365363550
oct3132537400
91081350581
10426426112
111a9785282
12ba986454
136a464958
14408c3160
1527683727
hex196abf00

426426112 has 144 divisors (see below), whose sum is σ = 1021934592. Its totient is φ = 173813760.

The previous prime is 426426103. The next prime is 426426127. The reversal of 426426112 is 211624624.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 5137623 + ... + 5137705.

It is an arithmetic number, because the mean of its divisors is an integer number (7096768).

Almost surely, 2426426112 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 426426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510967296).

426426112 is an abundant number, since it is smaller than the sum of its proper divisors (595508480).

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

426426112 is an equidigital number, since it uses as much as digits as its factorization.

426426112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 426426112 is about 20650.0874574419. The cubic root of 426426112 is about 752.6873148772.

The spelling of 426426112 in words is "four hundred twenty-six million, four hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 61 64 83 94 112 122 128 166 188 224 244 256 329 332 376 427 448 488 581 658 664 752 854 896 976 1162 1316 1328 1504 1708 1792 1952 2324 2632 2656 2867 3008 3416 3901 3904 4648 5063 5264 5312 5734 6016 6832 7802 7808 9296 10126 10528 10624 11468 12032 13664 15604 15616 18592 20069 20252 21056 21248 22936 27307 27328 31208 35441 37184 40138 40504 42112 45872 54614 54656 62416 70882 74368 80276 81008 84224 91744 109228 109312 124832 141764 148736 160552 162016 183488 218456 237961 249664 283528 321104 324032 366976 436912 475922 499328 567056 642208 648064 733952 873824 951844 998656 1134112 1284416 1296128 1665727 1747648 1903688 2268224 2568832 3331454 3495296 3807376 4536448 5137664 6662908 6990592 7614752 9072896 13325816 15229504 26651632 30459008 53303264 60918016 106606528 213213056 426426112