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81935945 = 57133137157
BaseRepresentation
bin1001110001000…
…11111001001001
312201011202222122
410320203321021
5131433422240
612044101025
72013305210
oct470437111
9181152878
1081935945
1142283763
1223534775
1313c8a610
14ac4c077
1572d74b5
hex4e23e49

81935945 has 64 divisors (see below), whose sum is σ = 129110016. Its totient is φ = 48522240.

The previous prime is 81935939. The next prime is 81935957. The reversal of 81935945 is 54953918.

It is a happy number.

It is not a de Polignac number, because 81935945 - 210 = 81934921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 81935896 and 81935905.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 521807 + ... + 521963.

It is an arithmetic number, because the mean of its divisors is an integer number (2017344).

Almost surely, 281935945 is an apocalyptic number.

It is an amenable number.

81935945 is a deficient number, since it is larger than the sum of its proper divisors (47174071).

81935945 is a wasteful number, since it uses less digits than its factorization.

81935945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250.

The product of its digits is 194400, while the sum is 44.

The square root of 81935945 is about 9051.8476014568. The cubic root of 81935945 is about 434.3349948147.

The spelling of 81935945 in words is "eighty-one million, nine hundred thirty-five thousand, nine hundred forty-five".

Divisors: 1 5 7 13 31 35 37 65 91 155 157 185 217 259 403 455 481 785 1085 1099 1147 1295 2015 2041 2405 2821 3367 4867 5495 5735 5809 8029 10205 14105 14287 14911 16835 24335 29045 34069 40145 40663 63271 71435 74555 75517 104377 170345 180079 203315 316355 377585 442897 521885 528619 900395 1260553 2214485 2341027 2643095 6302765 11705135 16387189 81935945