Search a number
-
+
426711649 = 721322272
BaseRepresentation
bin11001011011110…
…001101001100001
31002201221012100011
4121123301221201
51333214233044
6110201524521
713400663200
oct3133615141
91081835304
10426711649
111a995a861
12baaa3741
136a534900
1440959237
15276dd134
hex196f1a61

426711649 has 27 divisors (see below), whose sum is σ = 539877267. Its totient is φ = 336130704.

The previous prime is 426711643. The next prime is 426711667. The reversal of 426711649 is 946117624.

The square root of 426711649 is 20657.

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

It can be written as a sum of positive squares in only one way, i.e., 63123025 + 363588624 = 7945^2 + 19068^2 .

It is not a de Polignac number, because 426711649 - 225 = 393157217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (426711643) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1879674 + ... + 1879900.

Almost surely, 2426711649 is an apocalyptic number.

426711649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

426711649 is the 20657-th square number.

426711649 is the 10329-th centered octagonal number.

It is an amenable number.

426711649 is a deficient number, since it is larger than the sum of its proper divisors (113165618).

426711649 is an equidigital number, since it uses as much as digits as its factorization.

426711649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The cubic root of 426711649 is about 752.8552784228.

The spelling of 426711649 in words is "four hundred twenty-six million, seven hundred eleven thousand, six hundred forty-nine".

Divisors: 1 7 13 49 91 169 227 637 1183 1589 2951 8281 11123 20657 38363 51529 144599 268541 360703 669877 1879787 2524921 4689139 8708401 32823973 60958807 426711649