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426629040 = 24351993559
BaseRepresentation
bin11001011011011…
…101011110110000
31002201210000000120
4121123131132300
51333204112130
6110200050240
713400200305
oct3133353660
91081700016
10426629040
111a9903792
12baa63980
136a506126
14409370ac
15276c3910
hex196dd7b0

426629040 has 80 divisors (see below), whose sum is σ = 1392172800. Its totient is φ = 107778816.

The previous prime is 426629033. The next prime is 426629041. The reversal of 426629040 is 40926624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 426628992 and 426629010.

It is not an unprimeable number, because it can be changed into a prime (426629041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42220 + ... + 51339.

It is an arithmetic number, because the mean of its divisors is an integer number (17402160).

Almost surely, 2426629040 is an apocalyptic number.

426629040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426629040 is an abundant number, since it is smaller than the sum of its proper divisors (965543760).

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

426629040 is a wasteful number, since it uses less digits than its factorization.

426629040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93594 (or 93588 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 426629040 is about 20655.0003631082. Note that the first 3 decimals coincide. The cubic root of 426629040 is about 752.8066924236.

The spelling of 426629040 in words is "four hundred twenty-six million, six hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 93559 187118 280677 374236 467795 561354 748472 935590 1122708 1403385 1496944 1777621 1871180 2245416 2806770 3555242 3742360 4490832 5332863 5613540 7110484 7484720 8888105 10665726 11227080 14220968 17776210 21331452 22454160 26664315 28441936 35552420 42662904 53328630 71104840 85325808 106657260 142209680 213314520 426629040