Base | Representation |
---|---|
bin | 1101000111001… |
… | …1101110010000 |
3 | 10211111021202021 |
4 | 3101303232100 |
5 | 103034444302 |
6 | 5242501224 |
7 | 1235330500 |
oct | 321635620 |
9 | 124437667 |
10 | 54999952 |
11 | 29056307 |
12 | 16504814 |
13 | b519167 |
14 | 7439a00 |
15 | 4c66437 |
hex | 3473b90 |
54999952 has 90 divisors (see below), whose sum is σ = 129842694. Its totient is φ = 22498560.
The previous prime is 54999943. The next prime is 55000013. The reversal of 54999952 is 25999945.
54999952 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., 48219136 + 6780816 = 6944^2 + 2604^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 54999952.
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 17 ways as a sum of consecutive naturals, for example, 753388 + ... + 753460.
Almost surely, 254999952 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 54999952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64921347).
54999952 is an abundant number, since it is smaller than the sum of its proper divisors (74842742).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54999952 is a wasteful number, since it uses less digits than its factorization.
54999952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 157 (or 113 counting only the distinct ones).
The product of its digits is 1312200, while the sum is 52.
The square root of 54999952 is about 7416.1952509356. The cubic root of 54999952 is about 380.2951354448.
It can be divided in two parts, 5499 and 9952, that added together give a palindrome (15451).
The spelling of 54999952 in words is "fifty-four million, nine hundred ninety-nine thousand, nine hundred fifty-two".
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