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426462660 = 2232513315879
BaseRepresentation
bin11001011010110…
…100110111000100
31002201110112210100
4121122310313010
51333133301120
6110152324100
713365605241
oct3132646704
91081415710
10426462660
111a97aa788
12ba9a3630
136a478490
14408d25c8
152768e490
hex196b4dc4

426462660 has 144 divisors (see below), whose sum is σ = 1438295040. Its totient is φ = 101571840.

The previous prime is 426462649. The next prime is 426462671. The reversal of 426462660 is 66264624.

426462660 is a `hidden beast` number, since 4 + 2 + 646 + 2 + 6 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (426462649) and next prime (426462671).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69601 + ... + 75479.

It is an arithmetic number, because the mean of its divisors is an integer number (9988160).

Almost surely, 2426462660 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 426462660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719147520).

426462660 is an abundant number, since it is smaller than the sum of its proper divisors (1011832380).

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

426462660 is a wasteful number, since it uses less digits than its factorization.

426462660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 426462660 is about 20650.9723742007. The cubic root of 426462660 is about 752.7088179617.

The spelling of 426462660 in words is "four hundred twenty-six million, four hundred sixty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 2015 2340 2418 2790 3627 4030 4836 5580 5879 6045 7254 8060 11758 12090 14508 17637 18135 23516 24180 29395 35274 36270 52911 58790 70548 72540 76427 88185 105822 117580 152854 176370 182249 211644 229281 264555 305708 352740 364498 382135 458562 529110 546747 687843 728996 764270 911245 917124 1058220 1093494 1146405 1375686 1528540 1640241 1822490 2186988 2292810 2369237 2733735 2751372 3280482 3439215 3644980 4585620 4738474 5467470 6560964 6878430 7107711 8201205 9476948 10934940 11846185 13756860 14215422 16402410 21323133 23692370 28430844 32804820 35538555 42646266 47384740 71077110 85292532 106615665 142154220 213231330 426462660