Search a number
-
+
275005296 = 243223431931
BaseRepresentation
bin10000011001000…
…011111101110000
3201011110201100100
4100121003331300
51030400132141
643142152400
76546335466
oct2031037560
9634421310
10275005296
11131262605
1278122700
1344c89137
1428748836
15192230b6
hex10643f70

275005296 has 120 divisors (see below), whose sum is σ = 822197376. Its totient is φ = 85599360.

The previous prime is 275005271. The next prime is 275005303. The reversal of 275005296 is 692500572.

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 275005296.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 141451 + ... + 143381.

Almost surely, 2275005296 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 275005296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411098688).

275005296 is an abundant number, since it is smaller than the sum of its proper divisors (547192080).

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

275005296 is a wasteful number, since it uses less digits than its factorization.

275005296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 275005296 is about 16583.2836314163. The cubic root of 275005296 is about 650.2998979033.

The spelling of 275005296 in words is "two hundred seventy-five million, five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 43 46 48 69 72 86 92 129 138 144 172 184 207 258 276 344 368 387 414 516 552 688 774 828 989 1032 1104 1548 1656 1931 1978 2064 2967 3096 3312 3862 3956 5793 5934 6192 7724 7912 8901 11586 11868 15448 15824 17379 17802 23172 23736 30896 34758 35604 44413 46344 47472 69516 71208 83033 88826 92688 133239 139032 142416 166066 177652 249099 266478 278064 332132 355304 399717 498198 532956 664264 710608 747297 799434 996396 1065912 1328528 1494594 1598868 1909759 1992792 2131824 2989188 3197736 3819518 3985584 5729277 5978376 6395472 7639036 11458554 11956752 15278072 17187831 22917108 30556144 34375662 45834216 68751324 91668432 137502648 275005296