Base | Representation |
---|---|
bin | 1101101000111… |
… | …0010010111000 |
3 | 10222122100210200 |
4 | 3122032102320 |
5 | 104121042234 |
6 | 5402042200 |
7 | 1263146115 |
oct | 332162270 |
9 | 128570720 |
10 | 57205944 |
11 | 2a322744 |
12 | 171a9360 |
13 | bb0c293 |
14 | 785190c |
15 | 504ed99 |
hex | 368e4b8 |
57205944 has 48 divisors (see below), whose sum is σ = 156549120. Its totient is φ = 18869760.
The previous prime is 57205913. The next prime is 57205949. The reversal of 57205944 is 44950275.
57205944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×572059442 = 6545040057862272, which contains 22 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 = 57205899 and 57205908.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (57205949) 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 11 ways as a sum of consecutive naturals, for example, 2889 + ... + 11079.
It is an arithmetic number, because the mean of its divisors is an integer number (3261440).
Almost surely, 257205944 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 57205944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78274560).
57205944 is an abundant number, since it is smaller than the sum of its proper divisors (99343176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57205944 is a wasteful number, since it uses less digits than its factorization.
57205944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8300 (or 8293 counting only the distinct ones).
The product of its (nonzero) digits is 50400, while the sum is 36.
The square root of 57205944 is about 7563.4611124802. The cubic root of 57205944 is about 385.3130506067.
It can be divided in two parts, 5720 and 5944, that added together give a square (11664 = 1082).
The spelling of 57205944 in words is "fifty-seven million, two hundred five thousand, nine hundred forty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.073 sec. • engine limits •