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2706048 = 273629
BaseRepresentation
bin1010010100101010000000
312002111000000
422110222000
51143043143
6134000000
732000232
oct12245200
95074000
102706048
111589104
12aa6000
13739917
14506252
15386bd3
hex294a80

2706048 has 112 divisors (see below), whose sum is σ = 8361450. Its totient is φ = 870912.

The previous prime is 2706047. The next prime is 2706059. The reversal of 2706048 is 8406072.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 419904 = 1512^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2706047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93298 + ... + 93326.

22706048 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 2706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180725).

2706048 is an abundant number, since it is smaller than the sum of its proper divisors (5655402).

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

2706048 is an frugal number, since it uses more digits than its factorization.

2706048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2706048 is about 1645.0069908666. The cubic root of 2706048 is about 139.3515590626.

The spelling of 2706048 in words is "two million, seven hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 243 261 288 324 348 384 432 464 486 522 576 648 696 729 783 864 928 972 1044 1152 1296 1392 1458 1566 1728 1856 1944 2088 2349 2592 2784 2916 3132 3456 3712 3888 4176 4698 5184 5568 5832 6264 7047 7776 8352 9396 10368 11136 11664 12528 14094 15552 16704 18792 21141 23328 25056 28188 31104 33408 37584 42282 46656 50112 56376 75168 84564 93312 100224 112752 150336 169128 225504 300672 338256 451008 676512 902016 1353024 2706048