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81609768 = 2334125941
BaseRepresentation
bin1001101110101…
…00010000101000
312200120012120000
410313110100220
5131343003033
612033103000
72010446232
oct467242050
9180505500
1081609768
1142080699
12233b7a60
1313ba5006
14aba5252
157270a13
hex4dd4428

81609768 has 40 divisors (see below), whose sum is σ = 228584730. Its totient is φ = 27203040.

The previous prime is 81609767. The next prime is 81609779. The reversal of 81609768 is 86790618.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 46539684 + 35070084 = 6822^2 + 5922^2 .

It is not an unprimeable number, because it can be changed into a prime (81609761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62323 + ... + 63618.

Almost surely, 281609768 is an apocalyptic number.

It is an amenable number.

81609768 is an abundant number, since it is smaller than the sum of its proper divisors (146974962).

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

81609768 is a wasteful number, since it uses less digits than its factorization.

81609768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125959 (or 125946 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 81609768 is about 9033.8124842173. The cubic root of 81609768 is about 433.7578834590.

The spelling of 81609768 in words is "eighty-one million, six hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 125941 251882 377823 503764 755646 1007528 1133469 1511292 2266938 3022584 3400407 4533876 6800814 9067752 10201221 13601628 20402442 27203256 40804884 81609768