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5504400 = 24325211139
BaseRepresentation
bin10100111111110110010000
3101100122121200
4110333312100
52402120100
6313551200
764533546
oct24776620
911318550
105504400
11311a5a0
121a15500
1311a9555
14a33d96
1573ae00
hex53fd90

5504400 has 180 divisors, whose sum is σ = 20988240. Its totient is φ = 1324800.

The previous prime is 5504381. The next prime is 5504407. The reversal of 5504400 is 44055.

It is a happy number.

5504400 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5504407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 39531 + ... + 39669.

Almost surely, 25504400 is an apocalyptic number.

5504400 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 5504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494120).

5504400 is an abundant number, since it is smaller than the sum of its proper divisors (15483840).

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

5504400 is a wasteful number, since it uses less digits than its factorization.

5504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5504400 is about 2346.1457755221. The cubic root of 5504400 is about 176.5644755307.

Adding to 5504400 its reverse (44055), we get a palindrome (5548455).

It can be divided in two parts, 550 and 4400, that added together give a triangular number (4950 = T99).

The spelling of 5504400 in words is "five million, five hundred four thousand, four hundred".