Search a number
-
+
47645145 = 335536659
BaseRepresentation
bin1011010111000…
…0000111011001
310022122121212000
42311300013121
544144121040
64421111213
71115656062
oct265600731
9108577760
1047645145
1124992559
1213b58509
139b425c2
146483569
1542b2130
hex2d701d9

47645145 has 32 divisors (see below), whose sum is σ = 86313600. Its totient is φ = 24927552.

The previous prime is 47645123. The next prime is 47645149. The reversal of 47645145 is 54154674.

47645145 is a `hidden beast` number, since 4 + 7 + 645 + 1 + 4 + 5 = 666.

47645145 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 47645145 - 212 = 47641049 is a prime.

Its product of digits (67200) is a multiple of the sum of its prime divisors (6720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47645149) 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 31 ways as a sum of consecutive naturals, for example, 3826 + ... + 10484.

It is an arithmetic number, because the mean of its divisors is an integer number (2697300).

Almost surely, 247645145 is an apocalyptic number.

47645145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47645145 is a deficient number, since it is larger than the sum of its proper divisors (38668455).

47645145 is a wasteful number, since it uses less digits than its factorization.

47645145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 6720 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 47645145 is about 6902.5462693125. The cubic root of 47645145 is about 362.5263270614.

The spelling of 47645145 in words is "forty-seven million, six hundred forty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 53 135 159 265 477 795 1431 2385 6659 7155 19977 33295 59931 99885 179793 299655 352927 898965 1058781 1764635 3176343 5293905 9529029 15881715 47645145