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2429820429 = 347123113999
BaseRepresentation
bin1001000011010100…
…0001111000001101
320021100010200000020
42100311001320031
514434013223204
61041035252353
7114133063401
oct22065017015
96240120006
102429820429
111037630063
125798aa0b9
132c9529c8a
141909c3101
15e34b6bd9
hex90d41e0d

2429820429 has 16 divisors (see below), whose sum is σ = 3311616000. Its totient is φ = 1584013680.

The previous prime is 2429820413. The next prime is 2429820439. The reversal of 2429820429 is 9240289242.

It is not a de Polignac number, because 2429820429 - 24 = 2429820413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429820439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166572 + ... + 180570.

It is an arithmetic number, because the mean of its divisors is an integer number (206976000).

Almost surely, 22429820429 is an apocalyptic number.

It is an amenable number.

2429820429 is a deficient number, since it is larger than the sum of its proper divisors (881795571).

2429820429 is a wasteful number, since it uses less digits than its factorization.

2429820429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280.

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2429820429 is about 49293.2087513077. The cubic root of 2429820429 is about 1344.3883066768.

The spelling of 2429820429 in words is "two billion, four hundred twenty-nine million, eight hundred twenty thousand, four hundred twenty-nine".

Divisors: 1 3 47 141 1231 3693 13999 41997 57857 173571 657953 1973859 17232769 51698307 809940143 2429820429