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5604480 = 273257139
BaseRepresentation
bin10101011000010010000000
3101112201220100
4111120102000
52413320410
6320042400
765431410
oct25302200
911481810
105604480
113188802
121a63400
131212c7b
14a5c640
1575a8c0
hex558480

5604480 has 192 divisors, whose sum is σ = 22276800. Its totient is φ = 1271808.

The previous prime is 5604451. The next prime is 5604481. The reversal of 5604480 is 844065.

5604480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5604481) by changing a digit.

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, 40251 + ... + 40389.

It is an arithmetic number, because the mean of its divisors is an integer number (116025).

Almost surely, 25604480 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 5604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138400).

5604480 is an abundant number, since it is smaller than the sum of its proper divisors (16672320).

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

5604480 is a wasteful number, since it uses less digits than its factorization.

5604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5604480 is about 2367.3782967663. The cubic root of 5604480 is about 177.6281426063.

It can be divided in two parts, 5604 and 480, that added together give a square (6084 = 782).

The spelling of 5604480 in words is "five million, six hundred four thousand, four hundred eighty".