Search a number
-
+
550465056 = 253219110007
BaseRepresentation
bin100000110011110…
…110111000100000
31102100210112002200
4200303312320200
52111404340211
6130342213200
716432606251
oct4063667040
91370715080
10550465056
112627a55a9
12134424200
138a07408b
1453170b28
15334d5b56
hex20cf6e20

550465056 has 72 divisors (see below), whose sum is σ = 1573737984. Its totient is φ = 182509440.

The previous prime is 550465043. The next prime is 550465061. The reversal of 550465056 is 650564055.

It is a happy number.

550465056 is a `hidden beast` number, since 550 + 4 + 6 + 50 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×5504650563 (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 550465056.

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 11 ways as a sum of consecutive naturals, for example, 50005 + ... + 60011.

It is an arithmetic number, because the mean of its divisors is an integer number (21857472).

Almost surely, 2550465056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786868992).

550465056 is an abundant number, since it is smaller than the sum of its proper divisors (1023272928).

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

550465056 is a wasteful number, since it uses less digits than its factorization.

550465056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 550465056 is about 23461.9917313087. The cubic root of 550465056 is about 819.5521329819.

The spelling of 550465056 in words is "five hundred fifty million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 10007 13752 18336 20014 27504 30021 40028 55008 60042 80056 90063 120084 160112 180126 240168 320224 360252 480336 720504 960672 1441008 1911337 2882016 3822674 5734011 7645348 11468022 15290696 17202033 22936044 30581392 34404066 45872088 61162784 68808132 91744176 137616264 183488352 275232528 550465056