Search a number
-
+
47133541 = 7213611213
BaseRepresentation
bin1011001111001…
…1001101100101
310021200122001201
42303303031211
544031233131
64402122501
71111425400
oct263631545
9107618051
1047133541
1124673144
1213950431
1399c3790
14638cd37
154210761
hex2cf3365

47133541 has 24 divisors (see below), whose sum is σ = 60063864. Its totient is φ = 36650880.

The previous prime is 47133529. The next prime is 47133551. The reversal of 47133541 is 14533174.

It can be written as a sum of positive squares in 4 ways, for example, as 7001316 + 40132225 = 2646^2 + 6335^2 .

It is not a de Polignac number, because 47133541 - 27 = 47133413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47133551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38251 + ... + 39463.

It is an arithmetic number, because the mean of its divisors is an integer number (2502661).

Almost surely, 247133541 is an apocalyptic number.

It is an amenable number.

47133541 is a deficient number, since it is larger than the sum of its proper divisors (12930323).

47133541 is a wasteful number, since it uses less digits than its factorization.

47133541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1294 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 47133541 is about 6865.3871704369. The cubic root of 47133541 is about 361.2240764753.

It can be divided in two parts, 47133 and 541, that added together give a palindrome (47674).

The spelling of 47133541 in words is "forty-seven million, one hundred thirty-three thousand, five hundred forty-one".

Divisors: 1 7 13 49 61 91 427 637 793 1213 2989 5551 8491 15769 38857 59437 73993 110383 517951 772681 961909 3625657 6733363 47133541