Base | Representation |
---|---|
bin | 1011100011000… |
… | …0000010000000 |
3 | 10101010120011100 |
4 | 2320300002000 |
5 | 44344244412 |
6 | 4450014400 |
7 | 1125441633 |
oct | 270600200 |
9 | 111116140 |
10 | 48431232 |
11 | 2537a113 |
12 | 14277400 |
13 | a059345 |
14 | 6609c1a |
15 | 43b9edc |
hex | 2e30080 |
48431232 has 96 divisors (see below), whose sum is σ = 147623580. Its totient is φ = 15187968.
The previous prime is 48431183. The next prime is 48431263. The reversal of 48431232 is 23213484.
It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 3594816 = 6696^2 + 1896^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 48431196 and 48431205.
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 11 ways as a sum of consecutive naturals, for example, 18348 + ... + 20820.
Almost surely, 248431232 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 48431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73811790).
48431232 is an abundant number, since it is smaller than the sum of its proper divisors (99192348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48431232 is a wasteful number, since it uses less digits than its factorization.
48431232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2510 (or 2495 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 48431232 is about 6959.2551325555. The cubic root of 48431232 is about 364.5092096326.
The spelling of 48431232 in words is "forty-eight million, four hundred thirty-one thousand, two hundred thirty-two".
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