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4741633 = 13228057
BaseRepresentation
bin10010000101101000000001
322220220022001
4102011220001
52203213013
6245344001
755206001
oct22055001
98826261
104741633
112749506
121708001
13ca0300
148b6001
15639ddd
hex485a01

4741633 has 6 divisors (see below), whose sum is σ = 5134614. Its totient is φ = 4376736.

The previous prime is 4741613. The next prime is 4741643. The reversal of 4741633 is 3361474.

It is a Cunningham number, because it is equal to 1683+1.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 4739329 = 48^2 + 2177^2 .

It is not a de Polignac number, because 4741633 - 25 = 4741601 is a prime.

It is a Duffinian number.

4741633 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4741603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13860 + ... + 14197.

It is an arithmetic number, because the mean of its divisors is an integer number (855769).

Almost surely, 24741633 is an apocalyptic number.

It is an amenable number.

4741633 is a deficient number, since it is larger than the sum of its proper divisors (392981).

4741633 is a wasteful number, since it uses less digits than its factorization.

4741633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28083 (or 28070 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 4741633 is about 2177.5291042831. The cubic root of 4741633 is about 168.0000118103. Note that the first 4 decimals are identical.

The spelling of 4741633 in words is "four million, seven hundred forty-one thousand, six hundred thirty-three".

Divisors: 1 13 169 28057 364741 4741633