Search a number
-
+
275051268 = 223313119441
BaseRepresentation
bin10000011001001…
…111001100000100
3201011120001102000
4100121033030010
51030403120033
643143145300
76546616512
oct2031171404
9634501360
10275051268
111312940a8
1278145230
1344ca403b
142875b4b2
1519231a13
hex1064f304

275051268 has 48 divisors (see below), whose sum is σ = 718576320. Its totient is φ = 90979200.

The previous prime is 275051267. The next prime is 275051297. The reversal of 275051268 is 862150572.

It is a happy number.

275051268 is a `hidden beast` number, since 27 + 505 + 126 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (275051267) 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 15 ways as a sum of consecutive naturals, for example, 4428 + ... + 23868.

It is an arithmetic number, because the mean of its divisors is an integer number (14970340).

Almost surely, 2275051268 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 275051268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359288160).

275051268 is an abundant number, since it is smaller than the sum of its proper divisors (443525052).

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

275051268 is a wasteful number, since it uses less digits than its factorization.

275051268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19585 (or 19577 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 275051268 is about 16584.6696681001. The cubic root of 275051268 is about 650.3361322615.

The spelling of 275051268 in words is "two hundred seventy-five million, fifty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 7074 14148 19441 38882 58323 77764 116646 174969 233292 349938 524907 699876 1049814 2099628 2546771 5093542 7640313 10187084 15280626 22920939 30561252 45841878 68762817 91683756 137525634 275051268