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426831444 = 223513171987
BaseRepresentation
bin11001011100001…
…110111001010100
31002202011021200000
4121130032321110
51333232101234
6110204251300
713402002354
oct3134167124
91082137600
10426831444
111a9a31866
12bab40b30
136a5772b0
144098ab64
1527713899
hex1970ee54

426831444 has 144 divisors (see below), whose sum is σ = 1276486848. Its totient is φ = 123545088.

The previous prime is 426831439. The next prime is 426831463. The reversal of 426831444 is 444138624.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 426831399 and 426831408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213819 + ... + 215805.

It is an arithmetic number, because the mean of its divisors is an integer number (8864492).

Almost surely, 2426831444 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 426831444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638243424).

426831444 is an abundant number, since it is smaller than the sum of its proper divisors (849655404).

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

426831444 is a wasteful number, since it uses less digits than its factorization.

426831444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2022 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 426831444 is about 20659.8994189226. The cubic root of 426831444 is about 752.9257240112.

The spelling of 426831444 in words is "four hundred twenty-six million, eight hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 243 306 324 351 442 459 468 486 612 663 702 884 918 972 1053 1326 1377 1404 1836 1987 1989 2106 2652 2754 3159 3974 3978 4131 4212 5508 5961 5967 6318 7948 7956 8262 11922 11934 12636 16524 17883 17901 23844 23868 25831 33779 35766 35802 51662 53649 53703 67558 71532 71604 77493 101337 103324 107298 107406 135116 154986 160947 202674 214596 214812 232479 304011 309972 321894 405348 439127 464958 482841 608022 643788 697437 878254 912033 929916 965682 1216044 1317381 1394874 1756508 1824066 1931364 2092311 2634762 2736099 2789748 3648132 3952143 4184622 5269524 5472198 6276933 7904286 8208297 8369244 10944396 11856429 12553866 15808572 16416594 23712858 25107732 32833188 35569287 47425716 71138574 106707861 142277148 213415722 426831444