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4240000000 = 2105753
BaseRepresentation
bin1111110010111001…
…0100010000000000
3101221111022022120001
43330232110100000
532140420000000
61540421525344
7210033256015
oct37456242000
911844268501
104240000000
111886407835
129a3b73854
13527572552
142c318970c
1519c38146a
hexfcb94400

4240000000 has 176 divisors, whose sum is σ = 10794698928. Its totient is φ = 1664000000.

The previous prime is 4239999991. The next prime is 4240000087. The reversal of 4240000000 is 424.

It can be written as a sum of positive squares in 8 ways, for example, as 3650093056 + 589906944 = 60416^2 + 24288^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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, 79999974 + ... + 80000026.

Almost surely, 24240000000 is an apocalyptic number.

4240000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397349464).

4240000000 is an abundant number, since it is smaller than the sum of its proper divisors (6554698928).

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

4240000000 is an frugal number, since it uses more digits than its factorization.

4240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4240000000 is about 65115.2823843988. The cubic root of 4240000000 is about 1618.5344669133.

Adding to 4240000000 its reverse (424), we get a palindrome (4240000424).

4240000000 divided by its reverse (424) gives a 7-th power (10000000 = 107).

The spelling of 4240000000 in words is "four billion, two hundred forty million", and thus it is an aban number.