Search a number
-
+
426426 = 237111371
BaseRepresentation
bin1101000000110111010
3210122221120
41220012322
5102121201
613050110
73424140
oct1500672
9718846
10426426
11271420
12186936
1311c130
14b1590
1586536
hex681ba

426426 has 64 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 100800.

The previous prime is 426421. The next prime is 426427. The reversal of 426426 is 624624.

426426 is nontrivially palindromic in base 5.

426426 is a nontrivial binomial coefficient, being equal to C(924, 2).

It is a junction number, because it is equal to n+sod(n) for n = 426396 and 426405.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426426.

It is not an unprimeable number, because it can be changed into a prime (426421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5971 + ... + 6041.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2426426 is an apocalyptic number.

426426 is the 923-rd triangular number and also the 462-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580608).

426426 is an abundant number, since it is smaller than the sum of its proper divisors (734790).

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

426426 is a wasteful number, since it uses less digits than its factorization.

426426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107.

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

The square root of 426426 is about 653.0130167156. The cubic root of 426426 is about 75.2687248980.

The spelling of 426426 in words is "four hundred twenty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 71 77 78 91 142 143 154 182 213 231 273 286 426 429 462 497 546 781 858 923 994 1001 1491 1562 1846 2002 2343 2769 2982 3003 4686 5467 5538 6006 6461 10153 10934 12922 16401 19383 20306 30459 32802 38766 60918 71071 142142 213213 426426