Base | Representation |
---|---|
bin | 1100101010111… |
… | …1001000010000 |
3 | 10201000002210010 |
4 | 3022233020100 |
5 | 102101134003 |
6 | 5135034520 |
7 | 1213506660 |
oct | 312571020 |
9 | 121002703 |
10 | 53146128 |
11 | 27aaa522 |
12 | 1596ba40 |
13 | b01a419 |
14 | 70b61a0 |
15 | 49ec003 |
hex | 32af210 |
53146128 has 80 divisors (see below), whose sum is σ = 159541376. Its totient is φ = 14929920.
The previous prime is 53146109. The next prime is 53146133. The reversal of 53146128 is 82164135.
It is a junction number, because it is equal to n+sod(n) for n = 53146095 and 53146104.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19200 + ... + 21792.
Almost surely, 253146128 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 53146128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79770688).
53146128 is an abundant number, since it is smaller than the sum of its proper divisors (106395248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53146128 is a wasteful number, since it uses less digits than its factorization.
53146128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2672 (or 2666 counting only the distinct ones).
The product of its digits is 5760, while the sum is 30.
The square root of 53146128 is about 7290.1390933233. The cubic root of 53146128 is about 375.9734778335.
The spelling of 53146128 in words is "fifty-three million, one hundred forty-six thousand, one hundred twenty-eight".
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