Search a number
-
+
550886400 = 2103352797
BaseRepresentation
bin100000110101011…
…101110000000000
31102101120221002000
4200311131300000
52112011331100
6130355224000
716436312541
oct4065356000
91371527060
10550886400
11262a63119
121345a8000
138a190aac
14532404c8
153356a900
hex20d5dc00

550886400 has 264 divisors, whose sum is σ = 2025547440. Its totient is φ = 146718720.

The previous prime is 550886387. The next prime is 550886417. The reversal of 550886400 is 4688055.

It is a happy number.

550886400 is a `hidden beast` number, since 5 + 5 + 0 + 8 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 690802 + ... + 691598.

Almost surely, 2550886400 is an apocalyptic number.

550886400 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 550886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012773720).

550886400 is an abundant number, since it is smaller than the sum of its proper divisors (1474661040).

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

550886400 is a wasteful number, since it uses less digits than its factorization.

550886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 550886400 is about 23470.9693025235. The cubic root of 550886400 is about 819.7611836763.

The spelling of 550886400 in words is "five hundred fifty million, eight hundred eighty-six thousand, four hundred".