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426336876 = 2232753137233
BaseRepresentation
bin11001011010010…
…110001001101100
31002201020011020200
4121122112021230
51333120240001
6110145513500
713364542440
oct3132261154
91081204220
10426336876
111a9724229
12ba942890
136a433154
144089c820
1527667086
hex1969626c

426336876 has 144 divisors (see below), whose sum is σ = 1269463104. Its totient is φ = 118130688.

The previous prime is 426336811. The next prime is 426336881. The reversal of 426336876 is 678633624.

426336876 is a `hidden beast` number, since 4 + 2 + 633 + 6 + 8 + 7 + 6 = 666.

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, 1829656 + ... + 1829888.

It is an arithmetic number, because the mean of its divisors is an integer number (8815716).

Almost surely, 2426336876 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 426336876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634731552).

426336876 is an abundant number, since it is smaller than the sum of its proper divisors (843126228).

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

426336876 is a wasteful number, since it uses less digits than its factorization.

426336876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 435 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 426336876 is about 20647.9266755769. The cubic root of 426336876 is about 752.6348075463.

The spelling of 426336876 in words is "four hundred twenty-six million, three hundred thirty-six thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 137 159 212 233 252 274 318 371 411 466 477 548 636 699 742 822 932 954 959 1113 1233 1398 1484 1631 1644 1908 1918 2097 2226 2466 2796 2877 3262 3339 3836 4194 4452 4893 4932 5754 6524 6678 7261 8388 8631 9786 11508 12349 13356 14522 14679 17262 19572 21783 24698 29044 29358 31921 34524 37047 43566 49396 50827 58716 63842 65349 74094 86443 87132 95763 101654 111141 127684 130698 148188 152481 172886 191526 203308 222282 223447 259329 261396 287289 304962 345772 383052 444564 446894 457443 518658 574578 609924 670341 777987 893788 914886 1037316 1149156 1340682 1555974 1691813 1829772 2011023 2681364 3111948 3383626 4022046 5075439 6767252 8044092 10150878 11842691 15226317 20301756 23685382 30452634 35528073 47370764 60905268 71056146 106584219 142112292 213168438 426336876