Search a number
-
+
32945085 = 32523139229
BaseRepresentation
bin111110110101…
…1001110111101
32021222210011100
41331223032331
531413220320
63134043313
7550012545
oct175531675
967883140
1032945085
1117662148
12b049539
136a96644
144538325
152d5b790
hex1f6b3bd

32945085 has 48 divisors (see below), whose sum is σ = 60278400. Its totient is φ = 16612992.

The previous prime is 32945083. The next prime is 32945113. The reversal of 32945085 is 58054923.

It is not a de Polignac number, because 32945085 - 21 = 32945083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32945083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143751 + ... + 143979.

It is an arithmetic number, because the mean of its divisors is an integer number (1255800).

Almost surely, 232945085 is an apocalyptic number.

It is an amenable number.

32945085 is a deficient number, since it is larger than the sum of its proper divisors (27333315).

32945085 is a wasteful number, since it uses less digits than its factorization.

32945085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 32945085 is about 5739.7809191641. The cubic root of 32945085 is about 320.5754132587.

The spelling of 32945085 in words is "thirty-two million, nine hundred forty-five thousand, eighty-five".

Divisors: 1 3 5 9 15 23 45 69 115 139 207 229 345 417 687 695 1035 1145 1251 2061 2085 3197 3435 5267 6255 9591 10305 15801 15985 26335 28773 31831 47403 47955 79005 95493 143865 159155 237015 286479 477465 732113 1432395 2196339 3660565 6589017 10981695 32945085