Base | Representation |
---|---|
bin | 1101001101000… |
… | …0011111110000 |
3 | 10212012121000100 |
4 | 3103100133300 |
5 | 103134124302 |
6 | 5254552400 |
7 | 1241502405 |
oct | 323203760 |
9 | 125177010 |
10 | 55379952 |
11 | 29295861 |
12 | 16668700 |
13 | b620104 |
14 | 74d82ac |
15 | 4cddd1c |
hex | 34d07f0 |
55379952 has 90 divisors (see below), whose sum is σ = 162241352. Its totient is φ = 17633088.
The previous prime is 55379939. The next prime is 55379953. The reversal of 55379952 is 25997355.
55379952 is a `hidden beast` number, since 553 + 7 + 9 + 95 + 2 = 666.
55379952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 55379898 and 55379907.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (55379953) by changing a digit.
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, 75813 + ... + 76539.
Almost surely, 255379952 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 55379952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81120676).
55379952 is an abundant number, since it is smaller than the sum of its proper divisors (106861400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55379952 is a wasteful number, since it uses less digits than its factorization.
55379952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 787 (or 755 counting only the distinct ones).
The product of its digits is 425250, while the sum is 45.
The square root of 55379952 is about 7441.7707570174. The cubic root of 55379952 is about 381.1689580676.
The spelling of 55379952 in words is "fifty-five million, three hundred seventy-nine thousand, nine hundred fifty-two".
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