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706433 = 72131109
BaseRepresentation
bin10101100011110000001
31022220001012
42230132001
5140101213
623050305
76001400
oct2543601
91286035
10706433
11442832
122a0995
131b9710
14145637
15de4a8
hexac781

706433 has 12 divisors (see below), whose sum is σ = 885780. Its totient is φ = 558432.

The previous prime is 706427. The next prime is 706463. The reversal of 706433 is 334607.

It can be written as a sum of positive squares in 2 ways, for example, as 47089 + 659344 = 217^2 + 812^2 .

It is not a de Polignac number, because 706433 - 24 = 706417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 706399 and 706408.

It is not an unprimeable number, because it can be changed into a prime (706403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83 + ... + 1191.

It is an arithmetic number, because the mean of its divisors is an integer number (73815).

2706433 is an apocalyptic number.

It is an amenable number.

706433 is a deficient number, since it is larger than the sum of its proper divisors (179347).

706433 is a wasteful number, since it uses less digits than its factorization.

706433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 706433 is about 840.4956870800. The cubic root of 706433 is about 89.0615657848.

The spelling of 706433 in words is "seven hundred six thousand, four hundred thirty-three".

Divisors: 1 7 13 49 91 637 1109 7763 14417 54341 100919 706433