Base | Representation |
---|---|
bin | 1011101000101… |
… | …0001111100000 |
3 | 10101211100000200 |
4 | 2322022033200 |
5 | 44443110421 |
6 | 4501545200 |
7 | 1131541125 |
oct | 272121740 |
9 | 111740020 |
10 | 48800736 |
11 | 25601796 |
12 | 14415200 |
13 | a15859a |
14 | 66a474c |
15 | 443e726 |
hex | 2e8a3e0 |
48800736 has 72 divisors (see below), whose sum is σ = 143587080. Its totient is φ = 15703296.
The previous prime is 48800699. The next prime is 48800753. The reversal of 48800736 is 63700884.
It is a tau number, because it is divible by the number of its divisors (72).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 48800736.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5431 + ... + 11273.
It is an arithmetic number, because the mean of its divisors is an integer number (1994265).
Almost surely, 248800736 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 48800736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71793540).
48800736 is an abundant number, since it is smaller than the sum of its proper divisors (94786344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48800736 is a wasteful number, since it uses less digits than its factorization.
48800736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5888 (or 5877 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 48800736 is about 6985.7523574773. The cubic root of 48800736 is about 365.4338645081.
The spelling of 48800736 in words is "forty-eight million, eight hundred thousand, seven hundred thirty-six".
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