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766681056 = 25324361909
BaseRepresentation
bin101101101100101…
…001111111100000
31222102122102200200
4231230221333200
53032232243211
6204024345200
724666452511
oct5554517740
91872572620
10766681056
11363853909
12194915200
13c2ab833b
1473b74a08
1547494b56
hex2db29fe0

766681056 has 72 divisors (see below), whose sum is σ = 2230988760. Its totient is φ = 249613056.

The previous prime is 766681021. The next prime is 766681063. The reversal of 766681056 is 650186667.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18571 + ... + 43338.

It is an arithmetic number, because the mean of its divisors is an integer number (30985955).

Almost surely, 2766681056 is an apocalyptic number.

It is an amenable number.

766681056 is an abundant number, since it is smaller than the sum of its proper divisors (1464307704).

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

766681056 is a wasteful number, since it uses less digits than its factorization.

766681056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61968 (or 61957 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 766681056 is about 27689.0060493330. The cubic root of 766681056 is about 915.2468526839.

The spelling of 766681056 in words is "seven hundred sixty-six million, six hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 61909 123818 185727 247636 371454 495272 557181 742908 990544 1114362 1485816 1981088 2228724 2662087 2971632 4457448 5324174 5943264 7986261 8914896 10648348 15972522 17829792 21296696 23958783 31945044 42593392 47917566 63890088 85186784 95835132 127780176 191670264 255560352 383340528 766681056