Base | Representation |
---|---|
bin | 1101001110001… |
… | …0101011000000 |
3 | 10212100101010200 |
4 | 3103202223000 |
5 | 103144020100 |
6 | 5300325200 |
7 | 1242232431 |
oct | 323425300 |
9 | 125311120 |
10 | 55454400 |
11 | 29336791 |
12 | 166a3800 |
13 | b647c71 |
14 | 7517488 |
15 | 4d05e00 |
hex | 34e2ac0 |
55454400 has 126 divisors (see below), whose sum is σ = 197149212. Its totient is φ = 14784000.
The previous prime is 55454389. The next prime is 55454401. The reversal of 55454400 is 445455.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (55454401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12475 + ... + 16325.
Almost surely, 255454400 is an apocalyptic number.
55454400 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 55454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98574606).
55454400 is an abundant number, since it is smaller than the sum of its proper divisors (141694812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
55454400 is a wasteful number, since it uses less digits than its factorization.
55454400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3879 (or 3861 counting only the distinct ones).
The product of its (nonzero) digits is 8000, while the sum is 27.
The square root of 55454400 is about 7446.7711123681. The cubic root of 55454400 is about 381.3396850730.
Adding to 55454400 its reverse (445455), we get a palindrome (55899855).
The spelling of 55454400 in words is "fifty-five million, four hundred fifty-four thousand, four hundred".
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