Base | Representation |
---|---|
bin | 1101001011111… |
… | …0110100000000 |
3 | 10212001220122200 |
4 | 3102332310000 |
5 | 103124320040 |
6 | 5253233200 |
7 | 1241051262 |
oct | 322766400 |
9 | 125056580 |
10 | 55307520 |
11 | 292463a4 |
12 | 16632800 |
13 | b5c6158 |
14 | 74b9b32 |
15 | 4cc7630 |
hex | 34bed00 |
55307520 has 108 divisors (see below), whose sum is σ = 191398116. Its totient is φ = 14745600.
The previous prime is 55307519. The next prime is 55307521. The reversal of 55307520 is 2570355.
It is an interprime number because it is at equal distance from previous prime (55307519) and next prime (55307521).
It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 29419776 = 5088^2 + 5424^2 .
It is a super-4 number, since 4×553075204 (a number of 32 digits) contains 4444 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (55307521) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9120 + ... + 13920.
Almost surely, 255307520 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 55307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95699058).
55307520 is an abundant number, since it is smaller than the sum of its proper divisors (136090596).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55307520 is a wasteful number, since it uses less digits than its factorization.
55307520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4828 (or 4811 counting only the distinct ones).
The product of its (nonzero) digits is 5250, while the sum is 27.
The square root of 55307520 is about 7436.9025810481. The cubic root of 55307520 is about 381.0027073195.
Adding to 55307520 its reverse (2570355), we get a palindrome (57877875).
The spelling of 55307520 in words is "fifty-five million, three hundred seven thousand, five hundred twenty".
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