Search a number
-
+
426605520 = 243511283571
BaseRepresentation
bin11001011011010…
…111101111010000
31002201201210202110
4121123113233100
51333202334040
6110155345320
713400041605
oct3133275720
91081653673
10426605520
111a9898050
12baa52240
136a4c8503
144092c6ac
15276bb980
hex196d7bd0

426605520 has 160 divisors (see below), whose sum is σ = 1450335744. Its totient is φ = 102873600.

The previous prime is 426605519. The next prime is 426605521. The reversal of 426605520 is 25506624.

It is an interprime number because it is at equal distance from previous prime (426605519) and next prime (426605521).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426605521) 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 31 ways as a sum of consecutive naturals, for example, 746835 + ... + 747405.

Almost surely, 2426605520 is an apocalyptic number.

426605520 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 426605520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725167872).

426605520 is an abundant number, since it is smaller than the sum of its proper divisors (1023730224).

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

426605520 is a wasteful number, since it uses less digits than its factorization.

426605520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 426605520 is about 20654.4310016035. The cubic root of 426605520 is about 752.7928581265.

The spelling of 426605520 in words is "four hundred twenty-six million, six hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 283 330 440 528 566 571 660 849 880 1132 1142 1320 1415 1698 1713 2264 2284 2640 2830 2855 3113 3396 3426 4245 4528 4568 5660 5710 6226 6281 6792 6852 8490 8565 9136 9339 11320 11420 12452 12562 13584 13704 15565 16980 17130 18678 18843 22640 22840 24904 25124 27408 31130 31405 33960 34260 37356 37686 45680 46695 49808 50248 62260 62810 67920 68520 74712 75372 93390 94215 100496 124520 125620 137040 149424 150744 161593 186780 188430 249040 251240 301488 323186 373560 376860 484779 502480 646372 747120 753720 807965 969558 1292744 1507440 1615930 1777523 1939116 2423895 2585488 3231860 3555046 3878232 4847790 5332569 6463720 7110092 7756464 8887615 9695580 10665138 12927440 14220184 17775230 19391160 21330276 26662845 28440368 35550460 38782320 42660552 53325690 71100920 85321104 106651380 142201840 213302760 426605520