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5386726800 = 243652721329
BaseRepresentation
bin1010000010001001…
…01110110110010000
3111220102002002000000
411001010232312100
542013000224200
62250304130000
7250326264600
oct50104566620
914812062000
105386726800
112314737634
121064006900
1367b003810
143915acc00
15217d97300
hex14112ed90

5386726800 has 1260 divisors, whose sum is σ = 25145929620. Its totient is φ = 1097349120.

The previous prime is 5386726757. The next prime is 5386726819. The reversal of 5386726800 is 86276835.

5386726800 is a `hidden beast` number, since 5 + 386 + 7 + 268 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 549246096 + 4837480704 = 23436^2 + 69552^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 251 ways as a sum of consecutive naturals, for example, 185749186 + ... + 185749214.

It is an arithmetic number, because the mean of its divisors is an integer number (19957087).

Almost surely, 25386726800 is an apocalyptic number.

5386726800 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 5386726800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12572964810).

5386726800 is an abundant number, since it is smaller than the sum of its proper divisors (19759202820).

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

5386726800 is a wasteful number, since it uses less digits than its factorization.

5386726800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5386726800 is about 73394.3240312219. The cubic root of 5386726800 is about 1752.9720164484.

The spelling of 5386726800 in words is "five billion, three hundred eighty-six million, seven hundred twenty-six thousand, eight hundred".