Search a number
-
+
275050000 = 24555501
BaseRepresentation
bin10000011001001…
…110111000010000
3201011112222200001
4100121032320100
51030403100000
643143135344
76546613021
oct2031167020
9634488601
10275050000
11131293155
1278144554
1344ca35a4
142875ac48
151923146a
hex1064ee10

275050000 has 60 divisors (see below), whose sum is σ = 666215172. Its totient is φ = 110000000.

The previous prime is 275049991. The next prime is 275050001. The reversal of 275050000 is 50572.

It is a happy number.

275050000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 145636624 + 129413376 = 12068^2 + 11376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 275050000.

It is not an unprimeable number, because it can be changed into a prime (275050001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47250 + ... + 52750.

Almost surely, 2275050000 is an apocalyptic number.

275050000 is a gapful number since it is divisible by the number (20) 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 275050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333107586).

275050000 is an abundant number, since it is smaller than the sum of its proper divisors (391165172).

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

275050000 is an frugal number, since it uses more digits than its factorization.

275050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 275050000 is about 16584.6314399808. The cubic root of 275050000 is about 650.3351328994.

The spelling of 275050000 in words is "two hundred seventy-five million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 5501 6250 10000 11002 12500 22004 25000 27505 44008 50000 55010 88016 110020 137525 220040 275050 440080 550100 687625 1100200 1375250 2200400 2750500 3438125 5501000 6876250 11002000 13752500 17190625 27505000 34381250 55010000 68762500 137525000 275050000