Search a number
-
+
47131164 = 223210912011
BaseRepresentation
bin1011001111001…
…0101000011100
310021200111210200
42303302220130
544031144124
64402103500
71111415433
oct263625034
9107614720
1047131164
1124671383
121394ab90
1399c2682
14638c11a
15420ebc9
hex2cf2a1c

47131164 has 36 divisors (see below), whose sum is σ = 120240120. Its totient is φ = 15564960.

The previous prime is 47131159. The next prime is 47131171. The reversal of 47131164 is 46113174.

It is a happy number.

47131164 is a `hidden beast` number, since 471 + 31 + 164 = 666.

47131164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 2082 + ... + 9929.

Almost surely, 247131164 is an apocalyptic number.

It is an amenable number.

47131164 is an abundant number, since it is smaller than the sum of its proper divisors (73108956).

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

47131164 is a wasteful number, since it uses less digits than its factorization.

47131164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12130 (or 12125 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 47131164 is about 6865.2140534728. The cubic root of 47131164 is about 361.2180040547.

The spelling of 47131164 in words is "forty-seven million, one hundred thirty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 12011 24022 36033 48044 72066 108099 144132 216198 432396 1309199 2618398 3927597 5236796 7855194 11782791 15710388 23565582 47131164