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426804760 = 235531091847
BaseRepresentation
bin11001011100001…
…000011000011000
31002202002221001201
4121130020120120
51333230223020
6110203523544
713401531514
oct3134103030
91082087051
10426804760
111a9a13808
12bab295b4
136a5680c5
1440981144
152770aa0a
hex19708618

426804760 has 64 divisors (see below), whose sum is σ = 987940800. Its totient is φ = 165874176.

The previous prime is 426804743. The next prime is 426804773. The reversal of 426804760 is 67408624.

426804760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 230157 + ... + 232003.

It is an arithmetic number, because the mean of its divisors is an integer number (15436575).

Almost surely, 2426804760 is an apocalyptic number.

426804760 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 426804760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493970400).

426804760 is an abundant number, since it is smaller than the sum of its proper divisors (561136040).

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

426804760 is a wasteful number, since it uses less digits than its factorization.

426804760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 426804760 is about 20659.2536167210. The cubic root of 426804760 is about 752.9100335953.

The spelling of 426804760 in words is "four hundred twenty-six million, eight hundred four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 53 106 109 212 218 265 424 436 530 545 872 1060 1090 1847 2120 2180 3694 4360 5777 7388 9235 11554 14776 18470 23108 28885 36940 46216 57770 73880 97891 115540 195782 201323 231080 391564 402646 489455 783128 805292 978910 1006615 1610584 1957820 2013230 3915640 4026460 8052920 10670119 21340238 42680476 53350595 85360952 106701190 213402380 426804760