Search a number
-
+
2406426 = 2311192101
BaseRepresentation
bin1001001011100000011010
311112020222220
421023200122
51104001201
6123324510
726311551
oct11134032
94466886
102406426
1113a3a90
12980736
13663429
14468d98
15328036
hex24b81a

2406426 has 48 divisors (see below), whose sum is σ = 5596128. Its totient is φ = 684000.

The previous prime is 2406379. The next prime is 2406457. The reversal of 2406426 is 6246042.

It is a d-powerful number, because it can be written as 2 + 44 + 0 + 63 + 49 + 221 + 66 .

It is a junction number, because it is equal to n+sod(n) for n = 2406396 and 2406405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23776 + ... + 23876.

It is an arithmetic number, because the mean of its divisors is an integer number (116586).

22406426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798064).

2406426 is an abundant number, since it is smaller than the sum of its proper divisors (3189702).

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

2406426 is a wasteful number, since it uses less digits than its factorization.

2406426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2406426 is about 1551.2659346482. The cubic root of 2406426 is about 134.0059773082.

It can be divided in two parts, 24064 and 26, that added together give a triangular number (24090 = T219).

The spelling of 2406426 in words is "two million, four hundred six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 101 114 202 209 303 361 418 606 627 722 1083 1111 1254 1919 2166 2222 3333 3838 3971 5757 6666 7942 11514 11913 21109 23826 36461 42218 63327 72922 109383 126654 218766 401071 802142 1203213 2406426