Search a number
-
+
408226260 = 2235132127317
BaseRepresentation
bin11000010101010…
…000100111010100
31001110011001011010
4120111100213110
51314001220020
6104301412220
713054603011
oct3025204724
91043131133
10408226260
1119a484482
12b486a070
1366761a00
143c306708
1525c8ade0
hex185509d4

408226260 has 144 divisors (see below), whose sum is σ = 1251403776. Its totient is φ = 99380736.

The previous prime is 408226237. The next prime is 408226277. The reversal of 408226260 is 62622804.

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

It is a congruent number.

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, 1287622 + ... + 1287938.

It is an arithmetic number, because the mean of its divisors is an integer number (8690304).

Almost surely, 2408226260 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 408226260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625701888).

408226260 is an abundant number, since it is smaller than the sum of its proper divisors (843177516).

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

408226260 is a wasteful number, since it uses less digits than its factorization.

408226260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 408226260 is about 20204.6098700272. The cubic root of 408226260 is about 741.8230313472.

The spelling of 408226260 in words is "four hundred eight million, two hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 169 195 254 260 317 338 381 390 507 508 634 635 676 762 780 845 951 1014 1268 1270 1524 1585 1651 1690 1902 1905 2028 2535 2540 3170 3302 3380 3804 3810 4121 4755 4953 5070 6340 6604 7620 8242 8255 9510 9906 10140 12363 16484 16510 19020 19812 20605 21463 24726 24765 33020 40259 41210 42926 49452 49530 53573 61815 64389 80518 82420 85852 99060 107146 107315 120777 123630 128778 160719 161036 201295 214292 214630 241554 247260 257556 267865 321438 321945 402590 429260 483108 523367 535730 603885 642876 643890 803595 805180 1046734 1071460 1207770 1287780 1570101 1607190 2093468 2415540 2616835 3140202 3214380 5233670 6280404 6803771 7850505 10467340 13607542 15701010 20411313 27215084 31402020 34018855 40822626 68037710 81645252 102056565 136075420 204113130 408226260