Base | Representation |
---|---|
bin | 1101000001110… |
… | …1011111010000 |
3 | 10210211100020012 |
4 | 3100131133100 |
5 | 102442143421 |
6 | 5231134052 |
7 | 1232326634 |
oct | 320353720 |
9 | 123740205 |
10 | 54646736 |
11 | 289349a1 |
12 | 16374328 |
13 | b424461 |
14 | 7386dc4 |
15 | 4be695b |
hex | 341d7d0 |
54646736 has 30 divisors (see below), whose sum is σ = 111755682. Its totient is φ = 25882560.
The previous prime is 54646723. The next prime is 54646799. The reversal of 54646736 is 63764645.
54646736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 51036736 + 3610000 = 7144^2 + 1900^2 .
It is a junction number, because it is equal to n+sod(n) for n = 54646693 and 54646702.
It is a congruent number.
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 1046 + ... + 10506.
Almost surely, 254646736 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 54646736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55877841).
54646736 is an abundant number, since it is smaller than the sum of its proper divisors (57108946).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54646736 is a wasteful number, since it uses less digits than its factorization.
54646736 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9507 (or 9482 counting only the distinct ones).
The product of its digits is 362880, while the sum is 41.
The square root of 54646736 is about 7392.3430656322. The cubic root of 54646736 is about 379.4792867937.
The spelling of 54646736 in words is "fifty-four million, six hundred forty-six thousand, seven hundred thirty-six".
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