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5505104 = 2411311009
BaseRepresentation
bin10101000000000001010000
3101100200120202
4111000001100
52402130404
6313554332
764535603
oct25000120
911320522
105505104
113120080
121a159a8
1311a9977
14a3433a
1573b21e
hex540050

5505104 has 40 divisors (see below), whose sum is σ = 12023040. Its totient is φ = 2419200.

The previous prime is 5505089. The next prime is 5505109. The reversal of 5505104 is 4015055.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4952 + ... + 5960.

It is an arithmetic number, because the mean of its divisors is an integer number (300576).

Almost surely, 25505104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011520).

5505104 is an abundant number, since it is smaller than the sum of its proper divisors (6517936).

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

5505104 is a wasteful number, since it uses less digits than its factorization.

5505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 5505104 is about 2346.2958040281. The cubic root of 5505104 is about 176.5720026055.

The spelling of 5505104 in words is "five million, five hundred five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 1009 1364 2018 2728 4036 5456 8072 11099 16144 22198 31279 44396 62558 88792 125116 177584 250232 344069 500464 688138 1376276 2752552 5505104