Base | Representation |
---|---|
bin | 1011100011011… |
… | …0110000100000 |
3 | 10101011221221210 |
4 | 2320312300200 |
5 | 44401140114 |
6 | 4450350120 |
7 | 1125615153 |
oct | 270666040 |
9 | 111157853 |
10 | 48458784 |
11 | 25398890 |
12 | 1428b340 |
13 | a068a4a |
14 | 6615c9a |
15 | 43c3259 |
hex | 2e36c20 |
48458784 has 96 divisors (see below), whose sum is σ = 140374080. Its totient is φ = 14515200.
The previous prime is 48458779. The next prime is 48458821. The reversal of 48458784 is 48785484.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (48).
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 15 ways as a sum of consecutive naturals, for example, 114894 + ... + 115314.
It is an arithmetic number, because the mean of its divisors is an integer number (1462230).
Almost surely, 248458784 is an apocalyptic number.
48458784 is a gapful number since it is divisible by the number (44) 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 48458784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70187040).
48458784 is an abundant number, since it is smaller than the sum of its proper divisors (91915296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48458784 is a wasteful number, since it uses less digits than its factorization.
48458784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 554 (or 546 counting only the distinct ones).
The product of its digits is 1146880, while the sum is 48.
The square root of 48458784 is about 6961.2343732990. The cubic root of 48458784 is about 364.5783183013.
The spelling of 48458784 in words is "forty-eight million, four hundred fifty-eight thousand, seven hundred eighty-four".
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