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426686832 = 243311136907
BaseRepresentation
bin11001011011101…
…011100101110000
31002201212221022000
4121123223211300
51333212434312
6110201214000
713400530635
oct3133534560
91081787260
10426686832
111a9943150
12baa91300
136a526520
144095018c
15276d5adc
hex196eb970

426686832 has 160 divisors (see below), whose sum is σ = 1439074560. Its totient is φ = 119335680.

The previous prime is 426686797. The next prime is 426686833. The reversal of 426686832 is 238686624.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426686833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58323 + ... + 65229.

It is an arithmetic number, because the mean of its divisors is an integer number (8994216).

Almost surely, 2426686832 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 426686832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719537280).

426686832 is an abundant number, since it is smaller than the sum of its proper divisors (1012387728).

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

426686832 is a wasteful number, since it uses less digits than its factorization.

426686832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948 (or 6936 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 426686832 is about 20656.3992990066. The cubic root of 426686832 is about 752.8406831087.

The spelling of 426686832 in words is "four hundred twenty-six million, six hundred eighty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5616 6864 6907 7722 10296 13814 15444 20592 20721 27628 30888 41442 55256 61776 62163 75977 82884 89791 110512 124326 151954 165768 179582 186489 227931 248652 269373 303908 331536 359164 372978 455862 497304 538746 607816 683793 718328 745956 808119 911724 987701 994608 1077492 1215632 1367586 1436656 1491912 1616238 1823448 1975402 2051379 2154984 2424357 2735172 2963103 2983824 3232476 3646896 3950804 4102758 4309968 4848714 5470344 5926206 6464952 7901608 8205516 8889309 9697428 10940688 11852412 12929904 15803216 16411032 17778618 19394856 23704824 26667927 32822064 35557236 38789712 47409648 53335854 71114472 106671708 142228944 213343416 426686832