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5440051200 = 211352107331
BaseRepresentation
bin1010001000100000…
…01001100000000000
3112001010102020022210
411010100021200000
542120123114300
62255451102120
7251544446403
oct50420114000
915033366283
105440051200
112341848a91
121079a41940
1368908410c
143986cdd3a
1521c8cc050
hex144409800

5440051200 has 288 divisors, whose sum is σ = 18206959680. Its totient is φ = 1432780800.

The previous prime is 5440051157. The next prime is 5440051231. The reversal of 5440051200 is 21500445.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16435035 + ... + 16435365.

It is an arithmetic number, because the mean of its divisors is an integer number (63218610).

Almost surely, 25440051200 is an apocalyptic number.

5440051200 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 5440051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9103479840).

5440051200 is an abundant number, since it is smaller than the sum of its proper divisors (12766908480).

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

5440051200 is a wasteful number, since it uses less digits than its factorization.

5440051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 5440051200 is about 73756.7027462589. The cubic root of 5440051200 is about 1758.7373864361.

Adding to 5440051200 its reverse (21500445), we get a palindrome (5461551645).

The spelling of 5440051200 in words is "five billion, four hundred forty million, fifty-one thousand, two hundred".