| Base | Representation |
|---|---|
| bin | 1111110010111111… |
| … | …1011110001000000 |
| 3 | 101221112002212011202 |
| 4 | 3330233323301000 |
| 5 | 32141022032000 |
| 6 | 1540435000332 |
| 7 | 210040003121 |
| oct | 37457736100 |
| 9 | 11845085152 |
| 10 | 4240424000 |
| 11 | 188667734a |
| 12 | 9a41390a8 |
| 13 | 527690537 |
| 14 | 2c325a048 |
| 15 | 19c416dd5 |
| hex | fcbfbc40 |
4240424000 has 224 divisors, whose sum is σ = 10925287776. Its totient is φ = 1629388800.
The previous prime is 4240423997. The next prime is 4240424021. The reversal of 4240424000 is 4240424.
It can be written as a sum of positive squares in 16 ways, for example, as 2207496256 + 2032927744 = 46984^2 + 45088^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 30951932 + ... + 30952068.
Almost surely, 24240424000 is an apocalyptic number.
4240424000 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 4240424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462643888).
4240424000 is an abundant number, since it is smaller than the sum of its proper divisors (6684863776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4240424000 is a wasteful number, since it uses less digits than its factorization.
4240424000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 290 (or 270 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 20.
The square root of 4240424000 is about 65118.5380671280. The cubic root of 4240424000 is about 1618.5884162639.
Adding to 4240424000 its reverse (4240424), we get a palindrome (4244664424).
4240424000 divided by its reverse (4240424) gives a cube (1000 = 103).
It can be divided in two parts, 4240 and 424000, that multiplied together give a square (1797760000 = 424002).
The spelling of 4240424000 in words is "four billion, two hundred forty million, four hundred twenty-four thousand".
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