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523693 = 4153241
BaseRepresentation
bin1111111110110101101
3222121101001
41333312231
5113224233
615120301
74310542
oct1776655
9877331
10523693
11328505
12213091
131544a1
14d8bc9
15a527d
hex7fdad

523693 has 8 divisors (see below), whose sum is σ = 548856. Its totient is φ = 499200.

The previous prime is 523681. The next prime is 523717. The reversal of 523693 is 396325.

It can be written as a sum of positive squares in 4 ways, for example, as 64009 + 459684 = 253^2 + 678^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-523693 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2053 + ... + 2293.

It is an arithmetic number, because the mean of its divisors is an integer number (68607).

2523693 is an apocalyptic number.

523693 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

523693 is a deficient number, since it is larger than the sum of its proper divisors (25163).

523693 is a wasteful number, since it uses less digits than its factorization.

523693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335.

The product of its digits is 4860, while the sum is 28.

The square root of 523693 is about 723.6663595885. Note that the first 3 decimals coincide. The cubic root of 523693 is about 80.6044321871.

It can be divided in two parts, 5236 and 93, that added together give a square (5329 = 732).

The spelling of 523693 in words is "five hundred twenty-three thousand, six hundred ninety-three".

Divisors: 1 41 53 241 2173 9881 12773 523693