Search a number
-
+
550386144 = 25337118273
BaseRepresentation
bin100000110011100…
…011100111100000
31102100122111212000
4200303203213200
52111344324034
6130340404000
716432130220
oct4063434740
91370574760
10550386144
11262751290
121343a6600
138a047199
1453150080
15334bc599
hex20ce39e0

550386144 has 192 divisors, whose sum is σ = 2001646080. Its totient is φ = 142940160.

The previous prime is 550386097. The next prime is 550386209. The reversal of 550386144 is 441683055.

It is a happy number.

550386144 is a `hidden beast` number, since 5 + 5 + 0 + 38 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 550386099 and 550386108.

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 31 ways as a sum of consecutive naturals, for example, 62392 + ... + 70664.

It is an arithmetic number, because the mean of its divisors is an integer number (10425240).

Almost surely, 2550386144 is an apocalyptic number.

550386144 is a gapful number since it is divisible by the number (54) 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 550386144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000823040).

550386144 is an abundant number, since it is smaller than the sum of its proper divisors (1451259936).

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

550386144 is a wasteful number, since it uses less digits than its factorization.

550386144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 550386144 is about 23460.3099723768. The cubic root of 550386144 is about 819.5129687710.

The spelling of 550386144 in words is "five hundred fifty million, three hundred eighty-six thousand, one hundred forty-four".