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426808360 = 235114159401
BaseRepresentation
bin11001011100001…
…001010000101000
31002202010010000001
4121130021100220
51333230331420
6110203552344
713401545146
oct3134112050
91082103001
10426808360
111a9a16490
12bab2b6b4
136a569934
1440982596
152770bb0a
hex19709428

426808360 has 128 divisors (see below), whose sum is σ = 1094083200. Its totient is φ = 148480000.

The previous prime is 426808337. The next prime is 426808367. The reversal of 426808360 is 63808624.

426808360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (426808367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064160 + ... + 1064560.

It is an arithmetic number, because the mean of its divisors is an integer number (8547525).

Almost surely, 2426808360 is an apocalyptic number.

426808360 is a gapful number since it is divisible by the number (40) 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 426808360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547041600).

426808360 is an abundant number, since it is smaller than the sum of its proper divisors (667274840).

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

426808360 is a wasteful number, since it uses less digits than its factorization.

426808360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 426808360 is about 20659.3407445639. The cubic root of 426808360 is about 752.9121504637.

It can be divided in two parts, 42680 and 8360, that added together give a triangular number (51040 = T319).

The spelling of 426808360 in words is "four hundred twenty-six million, eight hundred eight thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 59 82 88 110 118 164 205 220 236 295 328 401 410 440 451 472 590 649 802 820 902 1180 1298 1604 1640 1804 2005 2255 2360 2419 2596 3208 3245 3608 4010 4411 4510 4838 5192 6490 8020 8822 9020 9676 12095 12980 16040 16441 17644 18040 19352 22055 23659 24190 25960 26609 32882 35288 44110 47318 48380 53218 65764 82205 88220 94636 96760 106436 118295 131528 133045 164410 176440 180851 189272 212872 236590 260249 266090 328820 361702 473180 520498 532180 657640 723404 904255 946360 970019 1040996 1064360 1301245 1446808 1808510 1940038 2081992 2602490 3617020 3880076 4850095 5204980 7234040 7760152 9700190 10409960 10670209 19400380 21340418 38800760 42680836 53351045 85361672 106702090 213404180 426808360