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276048216 = 233329127347
BaseRepresentation
bin10000011101000…
…010100101011000
3201020102200222000
4100131002211120
51031132020331
643220401000
76561241203
oct2035024530
9636380860
10276048216
11131905124
1278546160
1345262a52
142893a93a
151937c0e6
hex10742958

276048216 has 128 divisors (see below), whose sum is σ = 801792000. Its totient is φ = 87889536.

The previous prime is 276048163. The next prime is 276048239. The reversal of 276048216 is 612840672.

276048216 is a `hidden beast` number, since 27 + 604 + 8 + 21 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 795355 + ... + 795701.

It is an arithmetic number, because the mean of its divisors is an integer number (6264000).

Almost surely, 2276048216 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 276048216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400896000).

276048216 is an abundant number, since it is smaller than the sum of its proper divisors (525743784).

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

276048216 is a wasteful number, since it uses less digits than its factorization.

276048216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 276048216 is about 16614.6987935382. The cubic root of 276048216 is about 651.1209187353.

Adding to 276048216 its reverse (612840672), we get a palindrome (888888888).

The spelling of 276048216 in words is "two hundred seventy-six million, forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 127 174 216 232 254 261 347 348 381 508 522 694 696 762 783 1016 1041 1044 1143 1388 1524 1566 2082 2088 2286 2776 3048 3123 3132 3429 3683 4164 4572 6246 6264 6858 7366 8328 9144 9369 10063 11049 12492 13716 14732 18738 20126 22098 24984 27432 29464 30189 33147 37476 40252 44069 44196 60378 66294 74952 80504 88138 88392 90567 99441 120756 132207 132588 176276 181134 198882 241512 264414 265176 271701 352552 362268 396621 397764 528828 543402 724536 793242 795528 1057656 1086804 1189863 1278001 1586484 2173608 2379726 2556002 3172968 3834003 4759452 5112004 7668006 9518904 10224008 11502009 15336012 23004018 30672024 34506027 46008036 69012054 92016072 138024108 276048216