Base | Representation |
---|---|
bin | 1101101001000… |
… | …1100100000000 |
3 | 10222200001011101 |
4 | 3122101210000 |
5 | 104122004303 |
6 | 5402224144 |
7 | 1263233125 |
oct | 332214400 |
9 | 128601141 |
10 | 57219328 |
11 | 2a331801 |
12 | 171b5054 |
13 | bb153ba |
14 | 785674c |
15 | 5053d1d |
hex | 3691900 |
57219328 has 36 divisors (see below), whose sum is σ = 115398108. Its totient is φ = 28313600.
The previous prime is 57219307. The next prime is 57219341. The reversal of 57219328 is 82391275.
It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 1149184 = 7488^2 + 1072^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24750 + ... + 26962.
It is an arithmetic number, because the mean of its divisors is an integer number (3205503).
Almost surely, 257219328 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 57219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57699054).
57219328 is an abundant number, since it is smaller than the sum of its proper divisors (58178780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
57219328 is a wasteful number, since it uses less digits than its factorization.
57219328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2330 (or 2316 counting only the distinct ones).
The product of its digits is 30240, while the sum is 37.
The square root of 57219328 is about 7564.3458408510. The cubic root of 57219328 is about 385.3430977625.
It can be divided in two parts, 572 and 19328, that added together give a triangular number (19900 = T199).
The spelling of 57219328 in words is "fifty-seven million, two hundred nineteen thousand, three hundred twenty-eight".
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