Search a number
-
+
426441024 = 263482261
BaseRepresentation
bin11001011010101…
…111100101000000
31002201102110010000
4121122233211000
51333132103044
6110152040000
713365455202
oct3132574500
91081373100
10426441024
111a97954a9
12ba993000
136a46b689
14408c8772
1527687d69
hex196af940

426441024 has 70 divisors (see below), whose sum is σ = 1264120154. Its totient is φ = 142145280.

The previous prime is 426441007. The next prime is 426441031. The reversal of 426441024 is 420144624.

It is a happy number.

426441024 is a `hidden beast` number, since 4 + 2 + 644 + 10 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 276623424 + 149817600 = 16632^2 + 12240^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 35947 + ... + 46314.

Almost surely, 2426441024 is an apocalyptic number.

It is an amenable number.

426441024 is an abundant number, since it is smaller than the sum of its proper divisors (837679130).

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

426441024 is an equidigital number, since it uses as much as digits as its factorization.

426441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82285 (or 82266 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 426441024 is about 20650.4485181315. The cubic root of 426441024 is about 752.6960885288.

Adding to 426441024 its reverse (420144624), we get a palindrome (846585648).

The spelling of 426441024 in words is "four hundred twenty-six million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 82261 164522 246783 329044 493566 658088 740349 987132 1316176 1480698 1974264 2221047 2632352 2961396 3948528 4442094 5264704 5922792 6663141 7897056 8884188 11845584 13326282 15794112 17768376 23691168 26652564 35536752 47382336 53305128 71073504 106610256 142147008 213220512 426441024