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5227426800 = 2433521373533
BaseRepresentation
bin1001101111001010…
…00011001111110000
3111111022022210111000
410313211003033300
541201210124200
62222413522000
7243353252241
oct46745031760
914438283430
105227426800
112242823142
12101a7a3300
13653cc986b
14378382cc8
15208dcc300
hex1379433f0

5227426800 has 240 divisors, whose sum is σ = 18746880480. Its totient is φ = 1383413760.

The previous prime is 5227426753. The next prime is 5227426811. The reversal of 5227426800 is 86247225.

5227426800 is a `hidden beast` number, since 5 + 227 + 426 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477834 + ... + 1481366.

It is an arithmetic number, because the mean of its divisors is an integer number (78112002).

Almost surely, 25227426800 is an apocalyptic number.

5227426800 is a gapful number since it is divisible by the number (50) 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 5227426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9373440240).

5227426800 is an abundant number, since it is smaller than the sum of its proper divisors (13519453680).

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

5227426800 is a wasteful number, since it uses less digits than its factorization.

5227426800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5227426800 is about 72300.9460519017. The cubic root of 5227426800 is about 1735.5187900097.

The spelling of 5227426800 in words is "five billion, two hundred twenty-seven million, four hundred twenty-six thousand, eight hundred".