Base | Representation |
---|---|
bin | 1011111100011… |
… | …1011101000000 |
3 | 10111021100022202 |
4 | 2333013131000 |
5 | 100311200112 |
6 | 4545452332 |
7 | 1145562143 |
oct | 277073500 |
9 | 114240282 |
10 | 50100032 |
11 | 26309994 |
12 | 149410a8 |
13 | a4c1ab8 |
14 | 692205a |
15 | 45e96c2 |
hex | 2fc7740 |
50100032 has 56 divisors (see below), whose sum is σ = 103842312. Its totient is φ = 23961600.
The previous prime is 50100013. The next prime is 50100053. The reversal of 50100032 is 23000105.
It can be written as a sum of positive squares in 4 ways, for example, as 13424896 + 36675136 = 3664^2 + 6056^2 .
It is a junction number, because it is equal to n+sod(n) for n = 50099986 and 50100022.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159908 + ... + 160220.
It is an arithmetic number, because the mean of its divisors is an integer number (1854327).
Almost surely, 250100032 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 50100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51921156).
50100032 is an abundant number, since it is smaller than the sum of its proper divisors (53742280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
50100032 is a wasteful number, since it uses less digits than its factorization.
50100032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 427 (or 417 counting only the distinct ones).
The product of its (nonzero) digits is 30, while the sum is 11.
The square root of 50100032 is about 7078.1376081565. The cubic root of 50100032 is about 368.6486668989.
Adding to 50100032 its reverse (23000105), we get a palindrome (73100137).
The spelling of 50100032 in words is "fifty million, one hundred thousand, thirty-two".
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