Base | Representation |
---|---|
bin | 1101100011111… |
… | …0110010100000 |
3 | 10222000211002100 |
4 | 3120332302200 |
5 | 104030132123 |
6 | 5351050400 |
7 | 1260321513 |
oct | 330766240 |
9 | 128024070 |
10 | 56880288 |
11 | 2a120003 |
12 | 17070a00 |
13 | ba26c9a |
14 | 77a8d7a |
15 | 4ed8643 |
hex | 363eca0 |
56880288 has 144 divisors (see below), whose sum is σ = 174859776. Its totient is φ = 17487360.
The previous prime is 56880287. The next prime is 56880323. The reversal of 56880288 is 88208865.
56880288 is a `hidden beast` number, since 568 + 8 + 0 + 2 + 88 = 666.
56880288 is digitally balanced in base 2, 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 (144).
It is not an unprimeable number, because it can be changed into a prime (56880287) 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 23 ways as a sum of consecutive naturals, for example, 205206 + ... + 205482.
It is an arithmetic number, because the mean of its divisors is an integer number (1214304).
Almost surely, 256880288 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 56880288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87429888).
56880288 is an abundant number, since it is smaller than the sum of its proper divisors (117979488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56880288 is a wasteful number, since it uses less digits than its factorization.
56880288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 347 (or 336 counting only the distinct ones).
The product of its (nonzero) digits is 245760, while the sum is 45.
The square root of 56880288 is about 7541.9021473366. The cubic root of 56880288 is about 384.5805022067.
The spelling of 56880288 in words is "fifty-six million, eight hundred eighty thousand, two hundred eighty-eight".
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