Search a number
-
+
6426216 = 233447211
BaseRepresentation
bin11000100000111001101000
3110002111010000
4120200321220
53121114331
6345423000
7105423216
oct30407150
913074100
106426216
11369a125
12219aa60
13143ccc4
14bd3cb6
1586e0e6
hex620e68

6426216 has 80 divisors (see below), whose sum is σ = 18469440. Its totient is φ = 2086560.

The previous prime is 6426181. The next prime is 6426227. The reversal of 6426216 is 6126246.

It is a happy number.

6426216 is a `hidden beast` number, since 642 + 6 + 2 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6426216.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30351 + ... + 30561.

It is an arithmetic number, because the mean of its divisors is an integer number (230868).

Almost surely, 26426216 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 6426216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234720).

6426216 is an abundant number, since it is smaller than the sum of its proper divisors (12043224).

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

6426216 is a wasteful number, since it uses less digits than its factorization.

6426216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 6426216 is about 2534.9982248514. The cubic root of 6426216 is about 185.9167160960.

The spelling of 6426216 in words is "six million, four hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 211 216 282 324 376 422 423 564 633 648 844 846 1128 1266 1269 1688 1692 1899 2532 2538 3384 3798 3807 5064 5076 5697 7596 7614 9917 10152 11394 15192 15228 17091 19834 22788 29751 30456 34182 39668 45576 59502 68364 79336 89253 119004 136728 178506 238008 267759 357012 535518 714024 803277 1071036 1606554 2142072 3213108 6426216