Search a number
-
+
426409 = 6532
BaseRepresentation
bin1101000000110101001
3210122220221
41220012221
5102121114
613050041
73424114
oct1500651
9718827
10426409
11271405
12186921
1311c119
14b157b
1586524
hex681a9

426409 has 3 divisors (see below), whose sum is σ = 427063. Its totient is φ = 425756.

The previous prime is 426407. The next prime is 426421. The reversal of 426409 is 904624.

The square root of 426409 is 653.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 327184 = 315^2 + 572^2 .

It is not a de Polignac number, because 426409 - 21 = 426407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (426401) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 327 + ... + 979.

426409 is a Friedman number, since it can be written as (644+9)^(2+0), using all its digits and the basic arithmetic operations.

2426409 is an apocalyptic number.

426409 is the 653-rd square number.

426409 is the 327-th centered octagonal number.

It is an amenable number.

426409 is a deficient number, since it is larger than the sum of its proper divisors (654).

426409 is an frugal number, since it uses more digits than its factorization.

426409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 426409 is about 75.2677246578.

Multiplying 426409 by its sum of digits (25), we get a square (10660225 = 32652).

The spelling of 426409 in words is "four hundred twenty-six thousand, four hundred nine".

Divisors: 1 653 426409