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756058068 = 2232171235389
BaseRepresentation
bin101101000100001…
…000011111010100
31221200122201200200
4231010020133110
53022022324233
6203004540500
724510246633
oct5504103724
91850581620
10756058068
11358858687
12191251730
13c083904c
14725ab51a
1546597313
hex2d1087d4

756058068 has 36 divisors (see below), whose sum is σ = 2023568820. Its totient is φ = 237194496.

The previous prime is 756058067. The next prime is 756058087. The reversal of 756058068 is 860850657.

756058068 is a `hidden beast` number, since 7 + 5 + 6 + 0 + 580 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 599858064 + 156200004 = 24492^2 + 12498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (756058067) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 617083 + ... + 618306.

It is an arithmetic number, because the mean of its divisors is an integer number (56210245).

Almost surely, 2756058068 is an apocalyptic number.

It is an amenable number.

756058068 is an abundant number, since it is smaller than the sum of its proper divisors (1267510752).

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

756058068 is a wasteful number, since it uses less digits than its factorization.

756058068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235416 (or 1235411 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 756058068 is about 27496.5101058298. The cubic root of 756058068 is about 911.0000148609. Note that the first 4 decimals are identical.

The spelling of 756058068 in words is "seven hundred fifty-six million, fifty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1235389 2470778 3706167 4941556 7412334 11118501 14824668 21001613 22237002 42003226 44474004 63004839 84006452 126009678 189014517 252019356 378029034 756058068