Search a number
-
+
276096048 = 243172347313
BaseRepresentation
bin10000011101001…
…110010000110000
3201020112010120120
4100131032100300
51031140033143
643221410240
76561530514
oct2035162060
9636463516
10276096048
11131938058
1278569980
134527b757
1428950144
151938b383
hex1074e430

276096048 has 160 divisors (see below), whose sum is σ = 807376896. Its totient is φ = 80830464.

The previous prime is 276096043. The next prime is 276096061. The reversal of 276096048 is 840690672.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (276096043) 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 31 ways as a sum of consecutive naturals, for example, 881940 + ... + 882252.

Almost surely, 2276096048 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 276096048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403688448).

276096048 is an abundant number, since it is smaller than the sum of its proper divisors (531280848).

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

276096048 is a wasteful number, since it uses less digits than its factorization.

276096048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 276096048 is about 16616.1381794929. The cubic root of 276096048 is about 651.1585240222.

It can be divided in two parts, 27 and 6096048, that multiplied together give a triangular number (164593296 = T18143).

The spelling of 276096048 in words is "two hundred seventy-six million, ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 47 48 51 68 69 92 94 102 136 138 141 184 188 204 272 276 282 313 368 376 391 408 552 564 626 752 782 799 816 939 1081 1104 1128 1173 1252 1564 1598 1878 2162 2256 2346 2397 2504 3128 3196 3243 3756 4324 4692 4794 5008 5321 6256 6392 6486 7199 7512 8648 9384 9588 10642 12784 12972 14398 14711 15024 15963 17296 18377 18768 19176 21284 21597 25944 28796 29422 31926 36754 38352 42568 43194 44133 51888 55131 57592 58844 63852 73508 85136 86388 88266 110262 115184 117688 122383 127704 147016 172776 176532 220524 235376 244766 250087 255408 294032 338353 345552 353064 367149 441048 489532 500174 676706 706128 734298 750261 882096 979064 1000348 1015059 1353412 1468596 1500522 1958128 2000696 2030118 2706824 2937192 3001044 4001392 4060236 5413648 5752001 5874384 6002088 8120472 11504002 12004176 16240944 17256003 23008004 34512006 46016008 69024012 92032016 138048024 276096048