Search a number
-
+
73285872 = 24311138799
BaseRepresentation
bin1000101111001…
…00000011110000
312002220022022120
410113210003300
5122230121442
611134434240
71546630302
oct427440360
9162808276
1073285872
1138405840
1220662980
131224c32a
149a39972
1566794ec
hex45e40f0

73285872 has 40 divisors (see below), whose sum is σ = 206534400. Its totient is φ = 22207680.

The previous prime is 73285867. The next prime is 73285879. The reversal of 73285872 is 27858237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73285879) 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 7 ways as a sum of consecutive naturals, for example, 68872 + ... + 69927.

It is an arithmetic number, because the mean of its divisors is an integer number (5163360).

Almost surely, 273285872 is an apocalyptic number.

It is an amenable number.

73285872 is an abundant number, since it is smaller than the sum of its proper divisors (133248528).

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

73285872 is a wasteful number, since it uses less digits than its factorization.

73285872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138821 (or 138815 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 73285872 is about 8560.7167924187. The cubic root of 73285872 is about 418.4787597578.

The spelling of 73285872 in words is "seventy-three million, two hundred eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 138799 277598 416397 555196 832794 1110392 1526789 1665588 2220784 3053578 3331176 4580367 6107156 6662352 9160734 12214312 18321468 24428624 36642936 73285872