Search a number
-
+
49335 = 35111323
BaseRepresentation
bin1100000010110111
32111200020
430002313
53034320
61020223
7263556
oct140267
974606
1049335
1134080
1224673
13195c0
1413d9d
15e940
hexc0b7

49335 has 32 divisors (see below), whose sum is σ = 96768. Its totient is φ = 21120.

The previous prime is 49333. The next prime is 49339. The reversal of 49335 is 53394.

49335 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 49335 - 21 = 49333 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49335.

It is not an unprimeable number, because it can be changed into a prime (49331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2134 + ... + 2156.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

249335 is an apocalyptic number.

49335 is a deficient number, since it is larger than the sum of its proper divisors (47433).

49335 is a wasteful number, since it uses less digits than its factorization.

49335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55.

The product of its digits is 1620, while the sum is 24.

The square root of 49335 is about 222.1148351642. The cubic root of 49335 is about 36.6762601160.

It can be divided in two parts, 493 and 35, that added together give a triangular number (528 = T32).

The spelling of 49335 in words is "forty-nine thousand, three hundred thirty-five".

Divisors: 1 3 5 11 13 15 23 33 39 55 65 69 115 143 165 195 253 299 345 429 715 759 897 1265 1495 2145 3289 3795 4485 9867 16445 49335