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456423 = 31113831
BaseRepresentation
bin1101111011011100111
3212012002120
41233123213
5104101143
613441023
73610452
oct1573347
9765076
10456423
11291a10
121a0173
1312c996
14bc499
1590383
hex6f6e7

456423 has 8 divisors (see below), whose sum is σ = 663936. Its totient is φ = 276600.

The previous prime is 456409. The next prime is 456427. The reversal of 456423 is 324654.

456423 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 456423 - 28 = 456167 is a prime.

456423 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 456393 and 456402.

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 456423.

It is not an unprimeable number, because it can be changed into a prime (456427) 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, 6883 + ... + 6948.

It is an arithmetic number, because the mean of its divisors is an integer number (82992).

2456423 is an apocalyptic number.

456423 is a deficient number, since it is larger than the sum of its proper divisors (207513).

456423 is a wasteful number, since it uses less digits than its factorization.

456423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13845.

The product of its digits is 2880, while the sum is 24.

The square root of 456423 is about 675.5908525136. The cubic root of 456423 is about 76.9938152113.

Subtracting from 456423 its reverse (324654), we obtain a square (131769 = 3632).

The spelling of 456423 in words is "four hundred fifty-six thousand, four hundred twenty-three".

Divisors: 1 3 11 33 13831 41493 152141 456423