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5504522400 = 2533521319603
BaseRepresentation
bin1010010000001100…
…00101100010100000
3112012121201201012000
411020012011202200
542233124204100
62310113004000
7253256445156
oct51006054240
915177651160
105504522400
112375183173
121097553600
13699538260
143a30b33d6
152233b4900
hex1481858a0

5504522400 has 288 divisors, whose sum is σ = 21440502720. Its totient is φ = 1354890240.

The previous prime is 5504522377. The next prime is 5504522423. The reversal of 5504522400 is 42254055.

It is an interprime number because it is at equal distance from previous prime (5504522377) and next prime (5504522423).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270999 + ... + 290601.

It is an arithmetic number, because the mean of its divisors is an integer number (74446190).

Almost surely, 25504522400 is an apocalyptic number.

5504522400 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 5504522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10720251360).

5504522400 is an abundant number, since it is smaller than the sum of its proper divisors (15935980320).

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

5504522400 is a wasteful number, since it uses less digits than its factorization.

5504522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19645 (or 19626 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 5504522400 is about 74192.4686204739. The cubic root of 5504522400 is about 1765.6578426136.

Adding to 5504522400 its reverse (42254055), we get a palindrome (5546776455).

The spelling of 5504522400 in words is "five billion, five hundred four million, five hundred twenty-two thousand, four hundred".