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81955728 = 2432569137
BaseRepresentation
bin1001110001010…
…00101110010000
312201012210010100
410320220232100
5131440040403
612044332400
72013416661
oct470505620
9181183110
1081955728
1142297608
1223544100
1313c9661a
14ac55368
1572dd2a3
hex4e28b90

81955728 has 30 divisors (see below), whose sum is σ = 229362614. Its totient is φ = 27318528.

The previous prime is 81955717. The next prime is 81955747. The reversal of 81955728 is 82755918.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 52012944 + 29942784 = 7212^2 + 5472^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 284425 + ... + 284712.

Almost surely, 281955728 is an apocalyptic number.

It is an amenable number.

81955728 is an abundant number, since it is smaller than the sum of its proper divisors (147406886).

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

81955728 is a wasteful number, since it uses less digits than its factorization.

81955728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569151 (or 569142 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 81955728 is about 9052.9402958376. The cubic root of 81955728 is about 434.3699479633.

The spelling of 81955728 in words is "eighty-one million, nine hundred fifty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 569137 1138274 1707411 2276548 3414822 4553096 5122233 6829644 9106192 10244466 13659288 20488932 27318576 40977864 81955728