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2429909982 = 23344998333
BaseRepresentation
bin1001000011010101…
…0111101111011110
320021100022012212000
42100311113233132
514434024104412
61041041223130
7114133615443
oct22065275736
96240265760
102429909982
111037691375
12579931aa6
132c955b976
14190a079ca
15e34d34dc
hex90d57bde

2429909982 has 16 divisors (see below), whose sum is σ = 5399800080. Its totient is φ = 809969976.

The previous prime is 2429909959. The next prime is 2429909987. The reversal of 2429909982 is 2899099242.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 44998333 = 2429909982 / (2 + 4 + 2 + 9 + 9 + 0 + 9 + 9 + 8 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429909987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22499113 + ... + 22499220.

It is an arithmetic number, because the mean of its divisors is an integer number (337487505).

Almost surely, 22429909982 is an apocalyptic number.

2429909982 is an abundant number, since it is smaller than the sum of its proper divisors (2969890098).

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

2429909982 is a wasteful number, since it uses less digits than its factorization.

2429909982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44998344 (or 44998338 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2429909982 is about 49294.1171135055. The cubic root of 2429909982 is about 1344.4048226472.

The spelling of 2429909982 in words is "two billion, four hundred twenty-nine million, nine hundred nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 44998333 89996666 134994999 269989998 404984997 809969994 1214954991 2429909982