Base | Representation |
---|---|
bin | 1100111010001… |
… | …1111111000000 |
3 | 10202220001112121 |
4 | 3032203333000 |
5 | 102330232211 |
6 | 5212334024 |
7 | 1225154653 |
oct | 316437700 |
9 | 122801477 |
10 | 54149056 |
11 | 28624a95 |
12 | 16174314 |
13 | b2aba80 |
14 | 729789a |
15 | 4b49271 |
hex | 33a3fc0 |
54149056 has 56 divisors (see below), whose sum is σ = 118912640. Its totient is φ = 24302592.
The previous prime is 54149027. The next prime is 54149059. The reversal of 54149056 is 65094145.
It is a super-3 number, since 3×541490563 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is an alternating number because its digits alternate between odd and even.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (54149059) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29905 + ... + 31663.
It is an arithmetic number, because the mean of its divisors is an integer number (2123440).
Almost surely, 254149056 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 54149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59456320).
54149056 is an abundant number, since it is smaller than the sum of its proper divisors (64763584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54149056 is a wasteful number, since it uses less digits than its factorization.
54149056 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1821 (or 1811 counting only the distinct ones).
The product of its (nonzero) digits is 21600, while the sum is 34.
The square root of 54149056 is about 7358.6042154746. The cubic root of 54149056 is about 378.3237710112.
The spelling of 54149056 in words is "fifty-four million, one hundred forty-nine thousand, fifty-six".
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