Base | Representation |
---|---|
bin | 1011111110100… |
… | …0000111100000 |
3 | 10111112010212000 |
4 | 2333220013200 |
5 | 100324440244 |
6 | 4552404000 |
7 | 1146660204 |
oct | 277500740 |
9 | 114463760 |
10 | 50233824 |
11 | 263a0463 |
12 | 149a6600 |
13 | a53a974 |
14 | 6958b04 |
15 | 4624169 |
hex | 2fe81e0 |
50233824 has 96 divisors (see below), whose sum is σ = 149415840. Its totient is φ = 16413696.
The previous prime is 50233823. The next prime is 50233871. The reversal of 50233824 is 42833205.
50233824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (50233823) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 45244 + ... + 46340.
It is an arithmetic number, because the mean of its divisors is an integer number (1556415).
Almost surely, 250233824 is an apocalyptic number.
50233824 is a gapful number since it is divisible by the number (54) 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 50233824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74707920).
50233824 is an abundant number, since it is smaller than the sum of its proper divisors (99182016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
50233824 is a wasteful number, since it uses less digits than its factorization.
50233824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1169 (or 1155 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 50233824 is about 7087.5823804736. The cubic root of 50233824 is about 368.9765336389.
The spelling of 50233824 in words is "fifty million, two hundred thirty-three thousand, eight hundred twenty-four".
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