Base | Representation |
---|---|
bin | 1101010110001… |
… | …1100110100100 |
3 | 10220100012112221 |
4 | 3111203212210 |
5 | 103312420000 |
6 | 5315522124 |
7 | 1246562200 |
oct | 325434644 |
9 | 126305487 |
10 | 55982500 |
11 | 29667532 |
12 | 168b9344 |
13 | b7a1452 |
14 | 7613b00 |
15 | 4dac61a |
hex | 35639a4 |
55982500 has 90 divisors (see below), whose sum is σ = 142721502. Its totient is φ = 19152000.
The previous prime is 55982491. The next prime is 55982503. The reversal of 55982500 is 528955.
55982500 is digitally balanced in base 2 and base 9, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 5 ways, for example, as 11573604 + 44408896 = 3402^2 + 6664^2 .
It is a super-3 number, since 3×559825003 (a number of 24 digits) contains 333 as substring.
55982500 is strictly pandigital in base 9.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (55982503) 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 29 ways as a sum of consecutive naturals, for example, 122272 + ... + 122728.
Almost surely, 255982500 is an apocalyptic number.
55982500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 55982500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71360751).
55982500 is an abundant number, since it is smaller than the sum of its proper divisors (86739002).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55982500 is a wasteful number, since it uses less digits than its factorization.
55982500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 495 (or 471 counting only the distinct ones).
The product of its (nonzero) digits is 18000, while the sum is 34.
The square root of 55982500 is about 7482.1454142512. The cubic root of 55982500 is about 382.5463796695.
The spelling of 55982500 in words is "fifty-five million, nine hundred eighty-two thousand, five hundred".
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