Search a number
-
+
54418000 = 2453713223
BaseRepresentation
bin1100111110010…
…1101001010000
310210101201110111
43033211221100
5102412334000
65222211104
71230355030
oct317455120
9123351414
1054418000
112879905a
1216283a94
13b374300
1473278c0
154b9dcba
hex33e5a50

54418000 has 240 divisors, whose sum is σ = 169917696. Its totient is φ = 16473600.

The previous prime is 54417997. The next prime is 54418019. The reversal of 54418000 is 81445.

54418000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×544180002 = 5922637448000000, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2365989 + ... + 2366011.

Almost surely, 254418000 is an apocalyptic number.

54418000 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 54418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84958848).

54418000 is an abundant number, since it is smaller than the sum of its proper divisors (115499696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54418000 is a wasteful number, since it uses less digits than its factorization.

54418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 54418000 is about 7376.8556987378. The cubic root of 54418000 is about 378.9490815116.

Adding to 54418000 its reverse (81445), we get a palindrome (54499445).

It can be divided in two parts, 5 and 4418000, that multiplied together give a square (22090000 = 47002).

The spelling of 54418000 in words is "fifty-four million, four hundred eighteen thousand".