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80657568 = 2532280061
BaseRepresentation
bin1001100111010…
…11110010100000
312121202211101100
410303223302200
5131122020233
612000434400
71666402155
oct463536240
9177684340
1080657568
1141590252
1223018a00
1313930794
14a9d822c
157133813
hex4cebca0

80657568 has 36 divisors (see below), whose sum is σ = 229370778. Its totient is φ = 26885760.

The previous prime is 80657531. The next prime is 80657569. The reversal of 80657568 is 86575608.

80657568 is a `hidden beast` number, since 80 + 6 + 5 + 7 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62916624 + 17740944 = 7932^2 + 4212^2 .

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

It is not an unprimeable number, because it can be changed into a prime (80657569) 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 5 ways as a sum of consecutive naturals, for example, 139743 + ... + 140318.

Almost surely, 280657568 is an apocalyptic number.

It is an amenable number.

80657568 is an abundant number, since it is smaller than the sum of its proper divisors (148713210).

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

80657568 is a wasteful number, since it uses less digits than its factorization.

80657568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280077 (or 280066 counting only the distinct ones).

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

The square root of 80657568 is about 8980.9558511330. The cubic root of 80657568 is about 432.0642908432.

It can be divided in two parts, 80657 and 568, that added together give a square (81225 = 2852).

The spelling of 80657568 in words is "eighty million, six hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 280061 560122 840183 1120244 1680366 2240488 2520549 3360732 4480976 5041098 6721464 8961952 10082196 13442928 20164392 26885856 40328784 80657568