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468941226 = 231317271293
BaseRepresentation
bin11011111100110…
…111100110101010
31012200101200102120
4123330313212222
51430022104401
6114311012110
714422635405
oct3374674652
91180350376
10468941226
11220783536
1211106a036
13761cc220
14463ccd3c
152b280836
hex1bf379aa

468941226 has 96 divisors (see below), whose sum is σ = 1091760768. Its totient is φ = 133432320.

The previous prime is 468941201. The next prime is 468941287. The reversal of 468941226 is 622149864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1600336 + ... + 1600628.

It is an arithmetic number, because the mean of its divisors is an integer number (11372508).

Almost surely, 2468941226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468941226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545880384).

468941226 is an abundant number, since it is smaller than the sum of its proper divisors (622819542).

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

468941226 is a wasteful number, since it uses less digits than its factorization.

468941226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 399 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 468941226 is about 21655.0508196125. The cubic root of 468941226 is about 776.9137447752.

The spelling of 468941226 in words is "four hundred sixty-eight million, nine hundred forty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 71 78 102 142 213 221 289 293 426 442 578 586 663 867 879 923 1207 1326 1734 1758 1846 2414 2769 3621 3757 3809 4981 5538 7242 7514 7618 9962 11271 11427 14943 15691 20519 20803 22542 22854 29886 31382 41038 41606 47073 61557 62409 64753 84677 94146 123114 124818 129506 169354 194259 254031 266747 270439 353651 388518 508062 533494 540878 707302 800241 811317 1060953 1100801 1600482 1622634 2121906 2201602 3302403 4597463 6012067 6604806 9194926 12024134 13792389 18036201 27584778 36072402 78156871 156313742 234470613 468941226