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426225240 = 23345718793
BaseRepresentation
bin11001011001111…
…010111001011000
31002201000111010000
4121121322321120
51333103201430
6110143253000
713363566120
oct3131727130
91081014100
10426225240
111a9658371
12ba8aa160
136a3c43ac
144086dc80
1527643e60
hex1967ae58

426225240 has 160 divisors (see below), whose sum is σ = 1637333280. Its totient is φ = 97417728.

The previous prime is 426225229. The next prime is 426225251. The reversal of 426225240 is 42522624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426225229) and next prime (426225251).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13284 + ... + 32076.

It is an arithmetic number, because the mean of its divisors is an integer number (10233333).

Almost surely, 2426225240 is an apocalyptic number.

426225240 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 426225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818666640).

426225240 is an abundant number, since it is smaller than the sum of its proper divisors (1211108040).

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

426225240 is a wasteful number, since it uses less digits than its factorization.

426225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18823 (or 18810 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 426225240 is about 20645.2231763185. The cubic root of 426225240 is about 752.5691095198.

Adding to 426225240 its reverse (42522624), we get a palindrome (468747864).

The spelling of 426225240 in words is "four hundred twenty-six million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 18793 22680 37586 56379 75172 93965 112758 131551 150344 169137 187930 225516 263102 281895 338274 375860 394653 451032 507411 526204 563790 657755 676548 751720 789306 845685 1014822 1052408 1127580 1183959 1315510 1353096 1522233 1578612 1691370 1973265 2029644 2255160 2367918 2537055 2631020 3044466 3157224 3382740 3551877 3946530 4059288 4735836 5074110 5262040 5919795 6088932 6765480 7103754 7611165 7893060 9471672 10148220 10655631 11839590 12177864 14207508 15222330 15786120 17759385 20296440 21311262 23679180 28415016 30444660 35518770 42622524 47358360 53278155 60889320 71037540 85245048 106556310 142075080 213112620 426225240