Base | Representation |
---|---|
bin | 1011011101011… |
… | …1001100010000 |
3 | 10100110002000000 |
4 | 2313113030100 |
5 | 44301123334 |
6 | 4434130000 |
7 | 1122365013 |
oct | 267271420 |
9 | 110402000 |
10 | 48067344 |
11 | 25150786 |
12 | 14120900 |
13 | 9c5c820 |
14 | 655337a |
15 | 4347299 |
hex | 2dd7310 |
48067344 has 140 divisors (see below), whose sum is σ = 150847116. Its totient is φ = 14743296.
The previous prime is 48067339. The next prime is 48067363. The reversal of 48067344 is 44376084.
48067344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 43401744 = 2160^2 + 6588^2 .
It is a super-3 number, since 3×480673443 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 48067299 and 48067308.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 151474 + ... + 151790.
Almost surely, 248067344 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 48067344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423558).
48067344 is an abundant number, since it is smaller than the sum of its proper divisors (102779772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48067344 is a wasteful number, since it uses less digits than its factorization.
48067344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 356 (or 335 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The square root of 48067344 is about 6933.0616613441. The cubic root of 48067344 is about 363.5940004892.
The spelling of 48067344 in words is "forty-eight million, sixty-seven thousand, three hundred forty-four".
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