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5384491200 = 263552111259
BaseRepresentation
bin1010000001111000…
…01101000011000000
3111220020212111100000
411000330031003000
542011412204300
62250144200000
7250301264034
oct50074150300
914806774300
105384491200
11231344aa30
121063309000
1367a70008a
1439118a1c4
15217aa4c00
hex140f0d0c0

5384491200 has 504 divisors, whose sum is σ = 21667988160. Its totient is φ = 1304294400.

The previous prime is 5384491171. The next prime is 5384491207. The reversal of 5384491200 is 21944835.

5384491200 is a `hidden beast` number, since 5 + 3 + 8 + 449 + 1 + 200 = 666.

It is a super-3 number, since 3×53844912003 (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5384491207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4276171 + ... + 4277429.

It is an arithmetic number, because the mean of its divisors is an integer number (42992040).

Almost surely, 25384491200 is an apocalyptic number.

5384491200 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 5384491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10833994080).

5384491200 is an abundant number, since it is smaller than the sum of its proper divisors (16283496960).

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

5384491200 is a wasteful number, since it uses less digits than its factorization.

5384491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5384491200 is about 73379.0923901352. The cubic root of 5384491200 is about 1752.7294766737.

The spelling of 5384491200 in words is "five billion, three hundred eighty-four million, four hundred ninety-one thousand, two hundred".