Search a number
-
+
47105564 = 22112389523
BaseRepresentation
bin1011001110110…
…0011000011100
310021122012200112
42303230120130
544024334224
64401345152
71111251002
oct263543034
9107565615
1047105564
1124654120
12139381b8
1399b3b1c
146382a72
15420730e
hex2cec61c

47105564 has 48 divisors (see below), whose sum is σ = 95074560. Its totient is φ = 20211840.

The previous prime is 47105563. The next prime is 47105581. The reversal of 47105564 is 46550174.

47105564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47105564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47105563) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 89807 + ... + 90329.

It is an arithmetic number, because the mean of its divisors is an integer number (1980720).

Almost surely, 247105564 is an apocalyptic number.

47105564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

47105564 is an abundant number, since it is smaller than the sum of its proper divisors (47968996).

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

47105564 is a wasteful number, since it uses less digits than its factorization.

47105564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 47105564 is about 6863.3493281342. The cubic root of 47105564 is about 361.1525918810.

The spelling of 47105564 in words is "forty-seven million, one hundred five thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 23 44 46 89 92 178 253 356 506 523 979 1012 1046 1958 2047 2092 3916 4094 5753 8188 11506 12029 22517 23012 24058 45034 46547 48116 90068 93094 132319 186188 264638 512017 529276 1024034 1070581 2048068 2141162 4282324 11776391 23552782 47105564