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426125200 = 24521065313
BaseRepresentation
bin11001011001100…
…010011110010000
31002200211101212211
4121121202132100
51333042001300
6110141201504
713363001344
oct3131423620
91080741784
10426125200
111a959a196
12ba860294
136a38a9b7
1440845624
15276244ba
hex19662790

426125200 has 30 divisors (see below), whose sum is σ = 1023766754. Its totient is φ = 170449920.

The previous prime is 426125153. The next prime is 426125221. The reversal of 426125200 is 2521624.

It can be written as a sum of positive squares in 3 ways, for example, as 146700544 + 279424656 = 12112^2 + 16716^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 532257 + ... + 533056.

Almost surely, 2426125200 is an apocalyptic number.

426125200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426125200 is an abundant number, since it is smaller than the sum of its proper divisors (597641554).

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

426125200 is a wasteful number, since it uses less digits than its factorization.

426125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065331 (or 1065320 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 426125200 is about 20642.8001976476. The cubic root of 426125200 is about 752.5102260175.

Adding to 426125200 its reverse (2521624), we get a palindrome (428646824).

The spelling of 426125200 in words is "four hundred twenty-six million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1065313 2130626 4261252 5326565 8522504 10653130 17045008 21306260 26632825 42612520 53265650 85225040 106531300 213062600 426125200