Search a number
-
+
55012000 = 255317809
BaseRepresentation
bin1101000111011…
…0101010100000
310211111220021111
43101312222200
5103040341000
65243033104
71235410561
oct321665240
9124456244
1055012000
112906436a
121650b794
13b5217a4
147440168
154c69cba
hex3476aa0

55012000 has 96 divisors (see below), whose sum is σ = 143292240. Its totient is φ = 20684800.

The previous prime is 55011989. The next prime is 55012003. The reversal of 55012000 is 21055.

It can be written as a sum of positive squares in 8 ways, for example, as 14714896 + 40297104 = 3836^2 + 6348^2 .

It is not an unprimeable number, because it can be changed into a prime (55012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67596 + ... + 68404.

Almost surely, 255012000 is an apocalyptic number.

55012000 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 55012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71646120).

55012000 is an abundant number, since it is smaller than the sum of its proper divisors (88280240).

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

55012000 is a wasteful number, since it uses less digits than its factorization.

55012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 55012000 is about 7417.0074828060. The cubic root of 55012000 is about 380.3229019010.

Adding to 55012000 its reverse (21055), we get a palindrome (55033055).

The spelling of 55012000 in words is "fifty-five million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 809 850 1000 1360 1618 1700 2000 2125 2720 3236 3400 4000 4045 4250 6472 6800 8090 8500 12944 13600 13753 16180 17000 20225 25888 27506 32360 34000 40450 55012 64720 68000 68765 80900 101125 110024 129440 137530 161800 202250 220048 275060 323600 343825 404500 440096 550120 647200 687650 809000 1100240 1375300 1618000 1719125 2200480 2750600 3236000 3438250 5501200 6876500 11002400 13753000 27506000 55012000