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496221 = 31121367
BaseRepresentation
bin1111001001001011101
3221012200120
41321021131
5111334341
614345153
74134465
oct1711135
9835616
10496221
11309900
121bb1b9
13144b2b
14ccba5
159c066
hex7925d

496221 has 12 divisors (see below), whose sum is σ = 727776. Its totient is φ = 300520.

The previous prime is 496211. The next prime is 496229. The reversal of 496221 is 122694.

It is not a de Polignac number, because 496221 - 215 = 463453 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

496221 is a lucky number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 496191 and 496200.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 496221.

It is not an unprimeable number, because it can be changed into a prime (496229) 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 11 ways as a sum of consecutive naturals, for example, 321 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (60648).

2496221 is an apocalyptic number.

It is an amenable number.

496221 is a deficient number, since it is larger than the sum of its proper divisors (231555).

496221 is a wasteful number, since it uses less digits than its factorization.

496221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1381 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 496221 is about 704.4295564498. The cubic root of 496221 is about 79.1695870883.

It can be divided in two parts, 496 and 221, that added together give a palindrome (717).

The spelling of 496221 in words is "four hundred ninety-six thousand, two hundred twenty-one".

Divisors: 1 3 11 33 121 363 1367 4101 15037 45111 165407 496221