Search a number
-
+
426701808 = 2432131032213
BaseRepresentation
bin11001011011101…
…111001111110000
31002201220200211200
4121123233033300
51333213424213
6110201411200
713400622411
oct3133571760
91081820750
10426701808
111a9953425
12baa99b00
136a5302a0
1440955808
15276da273
hex196ef3f0

426701808 has 120 divisors (see below), whose sum is σ = 1299104352. Its totient is φ = 129959424.

The previous prime is 426701789. The next prime is 426701813. The reversal of 426701808 is 808107624.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191710 + ... + 193922.

Almost surely, 2426701808 is an apocalyptic number.

426701808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426701808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649552176).

426701808 is an abundant number, since it is smaller than the sum of its proper divisors (872402544).

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

426701808 is a wasteful number, since it uses less digits than its factorization.

426701808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 426701808 is about 20656.7617985008. The cubic root of 426701808 is about 752.8494908254.

The spelling of 426701808 in words is "four hundred twenty-six million, seven hundred one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 103 104 117 144 156 206 208 234 309 312 412 468 618 624 824 927 936 1236 1339 1648 1854 1872 2213 2472 2678 3708 4017 4426 4944 5356 6639 7416 8034 8852 10712 12051 13278 14832 16068 17704 19917 21424 24102 26556 28769 32136 35408 39834 48204 53112 57538 64272 79668 86307 96408 106224 115076 159336 172614 192816 227939 230152 258921 318672 345228 455878 460304 517842 683817 690456 911756 1035684 1367634 1380912 1823512 2051451 2071368 2735268 2963207 3647024 4102902 4142736 5470536 5926414 8205804 8889621 10941072 11852828 16411608 17779242 23705656 26668863 32823216 35558484 47411312 53337726 71116968 106675452 142233936 213350904 426701808