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52429 = 1337109
BaseRepresentation
bin1100110011001101
32122220211
430303031
53134204
61042421
7305566
oct146315
978824
1052429
1136433
1226411
131ab30
141516d
1510804
hexcccd

52429 has 8 divisors (see below), whose sum is σ = 58520. Its totient is φ = 46656.

The previous prime is 52391. The next prime is 52433. The reversal of 52429 is 92425.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13225 + 39204 = 115^2 + 198^2 .

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

It is a 6-Lehmer number, since φ(52429) divides (52429-1)6.

It is a cyclic number.

It is not a de Polignac number, because 52429 - 27 = 52301 is a prime.

It is a Duffinian number.

52429 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52489) 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, 427 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (7315).

52429 is a Friedman number, since it can be written as (4^9+2/2)/5, using all its digits and the basic arithmetic operations.

252429 is an apocalyptic number.

It is an amenable number.

52429 is a deficient number, since it is larger than the sum of its proper divisors (6091).

52429 is a wasteful number, since it uses less digits than its factorization.

52429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159.

The product of its digits is 720, while the sum is 22.

The square root of 52429 is about 228.9737976276. The cubic root of 52429 is about 37.4274746405.

The spelling of 52429 in words is "fifty-two thousand, four hundred twenty-nine".

Divisors: 1 13 37 109 481 1417 4033 52429