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429429 = 37112132
BaseRepresentation
bin1101000110101110101
3210211001210
41220311311
5102220204
613112033
73435660
oct1506565
9724053
10429429
11273700
12188619
13120600
14b26d7
1587389
hex68d75

429429 has 36 divisors (see below), whose sum is σ = 778848. Its totient is φ = 205920.

The previous prime is 429427. The next prime is 429431. The reversal of 429429 is 924924.

It is an interprime number because it is at equal distance from previous prime (429427) and next prime (429431).

It is not a de Polignac number, because 429429 - 21 = 429427 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 429396 and 429405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429427) 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 35 ways as a sum of consecutive naturals, for example, 33027 + ... + 33039.

2429429 is an apocalyptic number.

It is an amenable number.

429429 is a deficient number, since it is larger than the sum of its proper divisors (349419).

429429 is a wasteful number, since it uses less digits than its factorization.

429429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 34 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 429429 is about 655.3083243787. The cubic root of 429429 is about 75.4449989022. Note that the first 3 decimals are identical.

It can be divided in two parts, 429 and 429, that added together give a palindrome (858).

The spelling of 429429 in words is "four hundred twenty-nine thousand, four hundred twenty-nine".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 169 231 273 363 429 507 847 1001 1183 1573 1859 2541 3003 3549 4719 5577 11011 13013 20449 33033 39039 61347 143143 429429