Base | Representation |
---|---|
bin | 1011100010010… |
… | …1100100100000 |
3 | 10101001101101101 |
4 | 2320211210200 |
5 | 44341412014 |
6 | 4445044144 |
7 | 1125203002 |
oct | 270454440 |
9 | 111041341 |
10 | 48388384 |
11 | 2534aa00 |
12 | 14256654 |
13 | a0429a5 |
14 | 65d8372 |
15 | 43ac474 |
hex | 2e25920 |
48388384 has 36 divisors (see below), whose sum is σ = 104720742. Its totient is φ = 21992960.
The previous prime is 48388367. The next prime is 48388391.
48388384 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in only one way, i.e., 40704400 + 7683984 = 6380^2 + 2772^2 .
It is a super-2 number, since 2×483883842 = 4682871412262912, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2377 + ... + 10120.
Almost surely, 248388384 is an apocalyptic number.
48388384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
48388384 is an abundant number, since it is smaller than the sum of its proper divisors (56332358).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48388384 is a wasteful number, since it uses less digits than its factorization.
48388384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12529 (or 12510 counting only the distinct ones).
The product of its digits is 589824, while the sum is 46.
The square root of 48388384 is about 6956.1759609717. The cubic root of 48388384 is about 364.4016819194.
The spelling of 48388384 in words is "forty-eight million, three hundred eighty-eight thousand, three hundred eighty-four".
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