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73286045 = 5729103701
BaseRepresentation
bin1000101111001…
…00000110011101
312002220022112222
410113210012131
5122230123140
611134435125
71546630640
oct427440635
9162808488
1073286045
1138405988
1220662aa5
131224c431
149a39a57
1566795b5
hex45e419d

73286045 has 32 divisors (see below), whose sum is σ = 105131520. Its totient is φ = 47980800.

The previous prime is 73285999. The next prime is 73286063. The reversal of 73286045 is 54068237.

It is a happy number.

It is not a de Polignac number, because 73286045 - 218 = 73023901 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 73285996 and 73286014.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 104195 + ... + 104895.

It is an arithmetic number, because the mean of its divisors is an integer number (3285360).

Almost surely, 273286045 is an apocalyptic number.

It is an amenable number.

73286045 is a deficient number, since it is larger than the sum of its proper divisors (31845475).

73286045 is a wasteful number, since it uses less digits than its factorization.

73286045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 73286045 is about 8560.7268967068. The cubic root of 73286045 is about 418.4790890472.

The spelling of 73286045 in words is "seventy-three million, two hundred eighty-six thousand, forty-five".

Divisors: 1 5 7 29 35 103 145 203 515 701 721 1015 2987 3505 3605 4907 14935 20329 20909 24535 72203 101645 104545 142303 361015 505421 711515 2093887 2527105 10469435 14657209 73286045