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5184128 = 27101401
BaseRepresentation
bin10011110001101010000000
3100202101021202
4103301222000
52311343003
6303040332
762031035
oct23615200
910671252
105184128
112a20a04
1218a00a8
1310c6841
1498d38c
156c6088
hex4f1a80

5184128 has 32 divisors (see below), whose sum is σ = 10456020. Its totient is φ = 2560000.

The previous prime is 5184121. The next prime is 5184139. The reversal of 5184128 is 8214815.

It can be written as a sum of positive squares in 2 ways, for example, as 3356224 + 1827904 = 1832^2 + 1352^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 5184128.

It is not an unprimeable number, because it can be changed into a prime (5184121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12728 + ... + 13128.

Almost surely, 25184128 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 5184128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228010).

5184128 is an abundant number, since it is smaller than the sum of its proper divisors (5271892).

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

5184128 is a wasteful number, since it uses less digits than its factorization.

5184128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 504 counting only the distinct ones).

The product of its digits is 2560, while the sum is 29.

The square root of 5184128 is about 2276.8680242825. The cubic root of 5184128 is about 173.0713728692.

The spelling of 5184128 in words is "five million, one hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 401 404 802 808 1604 1616 3208 3232 6416 6464 12832 12928 25664 40501 51328 81002 162004 324008 648016 1296032 2592064 5184128