Search a number
-
+
276097248 = 2534715217
BaseRepresentation
bin10000011101001…
…110100011100000
3201020112012020000
4100131032203200
51031140102443
643221420000
76561534150
oct2035164340
9636465200
10276097248
11131938a49
127856a600
134527c16b
1428950760
151938b8d3
hex1074e8e0

276097248 has 120 divisors (see below), whose sum is σ = 928054512. Its totient is φ = 78879744.

The previous prime is 276097247. The next prime is 276097249. The reversal of 276097248 is 842790672.

It is an interprime number because it is at equal distance from previous prime (276097247) and next prime (276097249).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276097243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10536 + ... + 25752.

Almost surely, 2276097248 is an apocalyptic number.

276097248 is a gapful number since it is divisible by the number (28) 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 276097248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464027256).

276097248 is an abundant number, since it is smaller than the sum of its proper divisors (651957264).

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

276097248 is a wasteful number, since it uses less digits than its factorization.

276097248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15246 (or 15229 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 276097248 is about 16616.1742889270. The cubic root of 276097248 is about 651.1594674005.

The spelling of 276097248 in words is "two hundred seventy-six million, ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 15217 18144 30434 45651 60868 91302 106519 121736 136953 182604 213038 243472 273906 319557 365208 410859 426076 486944 547812 639114 730416 821718 852152 958671 1095624 1232577 1278228 1460832 1643436 1704304 1917342 2191248 2465154 2556456 2876013 3286872 3408608 3834684 4382496 4930308 5112912 5752026 6573744 7669368 8628039 9860616 10225824 11504052 13147488 15338736 17256078 19721232 23008104 30677472 34512156 39442464 46016208 69024312 92032416 138048624 276097248