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493941 = 3743547
BaseRepresentation
bin1111000100101110101
3221002120010
41320211311
5111301231
614330433
74125030
oct1704565
9832503
10493941
11308118
121b9a19
13143a96
14cc017
159b546
hex78975

493941 has 16 divisors (see below), whose sum is σ = 771584. Its totient is φ = 275184.

The previous prime is 493939. The next prime is 493967. The reversal of 493941 is 149394.

It is not a de Polignac number, because 493941 - 21 = 493939 is a prime.

It is a super-2 number, since 2×4939412 = 487955422962, which contains 22 as substring.

It is a Duffinian number.

493941 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 493899 and 493908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (48224).

2493941 is an apocalyptic number.

It is an amenable number.

493941 is a deficient number, since it is larger than the sum of its proper divisors (277643).

493941 is a wasteful number, since it uses less digits than its factorization.

493941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600.

The product of its digits is 3888, while the sum is 30.

The square root of 493941 is about 702.8093624874. The cubic root of 493941 is about 79.0481466911.

The spelling of 493941 in words is "four hundred ninety-three thousand, nine hundred forty-one".

Divisors: 1 3 7 21 43 129 301 547 903 1641 3829 11487 23521 70563 164647 493941