Base | Representation |
---|---|
bin | 1101011010101… |
… | …1001010000000 |
3 | 10220220002120220 |
4 | 3112223022000 |
5 | 103401304314 |
6 | 5330103040 |
7 | 1252222521 |
oct | 326531200 |
9 | 126802526 |
10 | 56275584 |
11 | 29847752 |
12 | 16a1aa80 |
13 | b874981 |
14 | 768c848 |
15 | 4e193a9 |
hex | 35ab280 |
56275584 has 64 divisors (see below), whose sum is σ = 151066080. Its totient is φ = 18560000.
The previous prime is 56275567. The next prime is 56275643. The reversal of 56275584 is 48557265.
56275584 is nontrivially palindromic in base 7.
It is a tau number, because it is divible by the number of its divisors (64).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38059 + ... + 39509.
Almost surely, 256275584 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 56275584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75533040).
56275584 is an abundant number, since it is smaller than the sum of its proper divisors (94790496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56275584 is a wasteful number, since it uses less digits than its factorization.
56275584 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1569 (or 1557 counting only the distinct ones).
The product of its digits is 336000, while the sum is 42.
The square root of 56275584 is about 7501.7054061060. The cubic root of 56275584 is about 383.2127970529.
It can be divided in two parts, 5627 and 5584, that added together give a palindrome (11211).
The spelling of 56275584 in words is "fifty-six million, two hundred seventy-five thousand, five hundred eighty-four".
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