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426807420 = 223513678167
BaseRepresentation
bin11001011100001…
…001000001111100
31002202010001201020
4121130021001330
51333230314140
6110203544140
713401542334
oct3134110174
91082101636
10426807420
111a9a15806
12bab2b050
136a569390
14409820c4
152770b6d0
hex1970907c

426807420 has 96 divisors (see below), whose sum is σ = 1306357248. Its totient is φ = 103479552.

The previous prime is 426807419. The next prime is 426807427. The reversal of 426807420 is 24708624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426807427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48177 + ... + 56343.

It is an arithmetic number, because the mean of its divisors is an integer number (13607888).

Almost surely, 2426807420 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 426807420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653178624).

426807420 is an abundant number, since it is smaller than the sum of its proper divisors (879549828).

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

426807420 is a wasteful number, since it uses less digits than its factorization.

426807420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 426807420 is about 20659.3179945515. The cubic root of 426807420 is about 752.9115977270.

The spelling of 426807420 in words is "four hundred twenty-six million, eight hundred seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 195 201 260 268 335 390 402 670 780 804 871 1005 1340 1742 2010 2613 3484 4020 4355 5226 8167 8710 10452 13065 16334 17420 24501 26130 32668 40835 49002 52260 81670 98004 106171 122505 163340 212342 245010 318513 424684 490020 530855 547189 637026 1061710 1094378 1274052 1592565 1641567 2123420 2188756 2735945 3185130 3283134 5471890 6370260 6566268 7113457 8207835 10943780 14226914 16415670 21340371 28453828 32831340 35567285 42680742 71134570 85361484 106701855 142269140 213403710 426807420