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429663 = 31323479
BaseRepresentation
bin1101000111001011111
3210211101110
41220321133
5102222123
613113103
73436443
oct1507137
9724343
10429663
112738a3
12188793
13120750
14b2823
1587493
hex68e5f

429663 has 16 divisors (see below), whose sum is σ = 645120. Its totient is φ = 252384.

The previous prime is 429661. The next prime is 429673. The reversal of 429663 is 366924.

It is not a de Polignac number, because 429663 - 21 = 429661 is a prime.

It is a super-2 number, since 2×4296632 = 369220587138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 429663.

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 429663.

It is not an unprimeable number, because it can be changed into a prime (429661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 658 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2429663 is an apocalyptic number.

429663 is a deficient number, since it is larger than the sum of its proper divisors (215457).

429663 is a wasteful number, since it uses less digits than its factorization.

429663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518.

The product of its digits is 7776, while the sum is 30.

The square root of 429663 is about 655.4868419732. The cubic root of 429663 is about 75.4586999828.

The spelling of 429663 in words is "four hundred twenty-nine thousand, six hundred sixty-three".

Divisors: 1 3 13 23 39 69 299 479 897 1437 6227 11017 18681 33051 143221 429663