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493047 = 352029
BaseRepresentation
bin1111000010111110111
3221001100000
41320113313
5111234142
614322343
74122312
oct1702767
9831300
10493047
11307485
121b93b3
13143559
14cb979
159b14c
hex785f7

493047 has 12 divisors (see below), whose sum is σ = 738920. Its totient is φ = 328536.

The previous prime is 493043. The next prime is 493049. The reversal of 493047 is 740394.

It is not a de Polignac number, because 493047 - 22 = 493043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 493047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493043) 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 11 ways as a sum of consecutive naturals, for example, 772 + ... + 1257.

493047 is a Friedman number, since it can be written as 79^(3+0)+4+4, using all its digits and the basic arithmetic operations.

2493047 is an apocalyptic number.

493047 is a deficient number, since it is larger than the sum of its proper divisors (245873).

493047 is an equidigital number, since it uses as much as digits as its factorization.

493047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 493047 is about 702.1730555924. The cubic root of 493047 is about 79.0004272796. Note that the first 3 decimals are identical.

The spelling of 493047 in words is "four hundred ninety-three thousand, forty-seven".

Divisors: 1 3 9 27 81 243 2029 6087 18261 54783 164349 493047