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969445008 = 243272137393
BaseRepresentation
bin111001110010001…
…000111010010000
32111120011220112200
4321302020322100
53441134220013
6240110323200
733011101200
oct7162107220
92446156480
10969445008
11458254424
122307b9500
13125acc6cc
1492a76400
155a197e73
hex39c88e90

969445008 has 90 divisors (see below), whose sum is σ = 3156077574. Its totient is φ = 276982272.

The previous prime is 969445007. The next prime is 969445027. The reversal of 969445008 is 800544969.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 950365584 + 19079424 = 30828^2 + 4368^2 .

It is a super-3 number, since 3×9694450083 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (969445007) 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 17 ways as a sum of consecutive naturals, for example, 61641 + ... + 75752.

Almost surely, 2969445008 is an apocalyptic number.

969445008 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

969445008 is an abundant number, since it is smaller than the sum of its proper divisors (2186632566).

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

969445008 is a wasteful number, since it uses less digits than its factorization.

969445008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137421 (or 137405 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 969445008 is about 31135.9118703789. The cubic root of 969445008 is about 989.7094709163.

The spelling of 969445008 in words is "nine hundred sixty-nine million, four hundred forty-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 137393 274786 412179 549572 824358 961751 1099144 1236537 1648716 1923502 2198288 2473074 2885253 3297432 3847004 4946148 5770506 6594864 6732257 7694008 8655759 9892296 11541012 13464514 15388016 17311518 19784592 20196771 23082024 26929028 34623036 40393542 46164048 53858056 60590313 69246072 80787084 107716112 121180626 138492144 161574168 242361252 323148336 484722504 969445008