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BaseRepresentation
bin1001000011010001…
…1011101001010000
320021022211201012001
42100310123221100
514433443220244
61041032043344
7114131542000
oct22064335120
96238751161
102429663824
111037533435
12579833554
132c94a3903
14190982000
15e34855d4
hex90d1ba50

2429663824 has 80 divisors (see below), whose sum is σ = 5512147200. Its totient is φ = 1037043840.

The previous prime is 2429663729. The next prime is 2429663827. The reversal of 2429663824 is 4283669242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429663827) 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, 1607229 + ... + 1608739.

It is an arithmetic number, because the mean of its divisors is an integer number (68901840).

Almost surely, 22429663824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429663824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756073600).

2429663824 is an abundant number, since it is smaller than the sum of its proper divisors (3082483376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2429663824 is a wasteful number, since it uses less digits than its factorization.

2429663824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1813 counting only the distinct ones).

The product of its digits is 995328, while the sum is 46.

The square root of 2429663824 is about 49291.6202208854. The cubic root of 2429663824 is about 1344.3594235474.

The spelling of 2429663824 in words is "two billion, four hundred twenty-nine million, six hundred sixty-three thousand, eight hundred twenty-four".