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426163374 = 2327131511723
BaseRepresentation
bin11001011001101…
…011110010101110
31002200220100020200
4121121223302232
51333044211444
6110142054330
713363220550
oct3131536256
91080810220
10426163374
111a961593a
12ba87a3a6
136a3a21a0
14408554d0
1527630969
hex1966bcae

426163374 has 96 divisors (see below), whose sum is σ = 1144625664. Its totient is φ = 111585600.

The previous prime is 426163357. The next prime is 426163399. The reversal of 426163374 is 473361624.

It is a happy number.

426163374 is a `hidden beast` number, since 4 + 2 + 616 + 3 + 37 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246477 + ... + 248199.

It is an arithmetic number, because the mean of its divisors is an integer number (11923184).

Almost surely, 2426163374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426163374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572312832).

426163374 is an abundant number, since it is smaller than the sum of its proper divisors (718462290).

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

426163374 is a wasteful number, since it uses less digits than its factorization.

426163374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1899 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 426163374 is about 20643.7248092489. The cubic root of 426163374 is about 752.5326963052.

The spelling of 426163374 in words is "four hundred twenty-six million, one hundred sixty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 151 182 234 273 302 453 546 819 906 1057 1359 1638 1723 1963 2114 2718 3171 3446 3926 5169 5889 6342 9513 10338 11778 12061 13741 15507 17667 19026 22399 24122 27482 31014 35334 36183 41223 44798 67197 72366 82446 108549 123669 134394 156793 201591 217098 247338 260173 313586 403182 470379 520346 780519 940758 1411137 1561038 1821211 2341557 2822274 3382249 3642422 4683114 5463633 6764498 10146747 10927266 16390899 20293494 23675743 30440241 32781798 47351486 60880482 71027229 142054458 213081687 426163374