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1426800000 = 273552941
BaseRepresentation
bin101010100001011…
…0011110110000000
310200102202221122110
41111002303312000
510410230100000
6353325135320
750233412523
oct12502636600
93612687573
101426800000
11672433a5a
123399ba540
131997a3072
14d76cabba
15853da850
hex550b3d80

1426800000 has 384 divisors, whose sum is σ = 5019991200. Its totient is φ = 358400000.

The previous prime is 1426799947. The next prime is 1426800019. The reversal of 1426800000 is 86241.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1426800000.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 34799980 + ... + 34800020.

Almost surely, 21426800000 is an apocalyptic number.

1426800000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509995600).

1426800000 is an abundant number, since it is smaller than the sum of its proper divisors (3593191200).

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

1426800000 is an frugal number, since it uses more digits than its factorization.

1426800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1426800000 is about 37773.0062346115. The cubic root of 1426800000 is about 1125.7821721072.

Adding to 1426800000 its reverse (86241), we get a palindrome (1426886241).

The spelling of 1426800000 in words is "one billion, four hundred twenty-six million, eight hundred thousand".