Base | Representation |
---|---|
bin | 10100000011010110000000 |
3 | 100220001200000 |
4 | 110003112000 |
5 | 2321202301 |
6 | 304400000 |
7 | 62452203 |
oct | 24032600 |
9 | 10801600 |
10 | 5256576 |
11 | 2a70386 |
12 | 1916000 |
13 | 1120800 |
14 | 9ab93a |
15 | 6dc786 |
hex | 503580 |
5256576 has 144 divisors (see below), whose sum is σ = 16986060. Its totient is φ = 1617408.
The previous prime is 5256547. The next prime is 5256583. The reversal of 5256576 is 6756525.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
5256576 is a `hidden beast` number, since 525 + 65 + 76 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (63000) is a multiple of the sum of its prime divisors (18).
It is a self number, because there is not a number n which added to its sum of digits gives 5256576.
It is a congruent number.
It is an unprimeable number.
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 17 ways as a sum of consecutive naturals, for example, 404346 + ... + 404358.
Almost surely, 25256576 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 5256576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8493030).
5256576 is an abundant number, since it is smaller than the sum of its proper divisors (11729484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5256576 is an equidigital number, since it uses as much as digits as its factorization.
5256576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55 (or 18 counting only the distinct ones).
The product of its digits is 63000, while the sum is 36.
The square root of 5256576 is about 2292.7223992451. The cubic root of 5256576 is about 173.8738681616.
It can be divided in two parts, 5256 and 576, that added together give a cube (5832 = 183).
The spelling of 5256576 in words is "five million, two hundred fifty-six thousand, five hundred seventy-six".
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