Base | Representation |
---|---|
bin | 1011101001000… |
… | …0000000000000 |
3 | 10101212112101011 |
4 | 2322100000000 |
5 | 44444334240 |
6 | 4502250304 |
7 | 1131666646 |
oct | 272200000 |
9 | 111775334 |
10 | 48824320 |
11 | 25618486 |
12 | 14426994 |
13 | a16623c |
14 | 66ad196 |
15 | 44466ea |
hex | 2e90000 |
48824320 has 68 divisors (see below), whose sum is σ = 117963900. Its totient is φ = 19398656.
The previous prime is 48824299. The next prime is 48824333. The reversal of 48824320 is 2342884.
It can be written as a sum of positive squares in 2 ways, for example, as 11075584 + 37748736 = 3328^2 + 6144^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327606 + ... + 327754.
Almost surely, 248824320 is an apocalyptic number.
48824320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 48824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58981950).
48824320 is an abundant number, since it is smaller than the sum of its proper divisors (69139580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48824320 is an frugal number, since it uses more digits than its factorization.
48824320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 186 (or 156 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 31.
The square root of 48824320 is about 6987.4401607456. The cubic root of 48824320 is about 365.4927229393.
The spelling of 48824320 in words is "forty-eight million, eight hundred twenty-four thousand, three hundred twenty".
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