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4201442320 = 24552518029
BaseRepresentation
bin1111101001101100…
…1110110000010000
3101211210202101100211
43322123032300100
532101032123240
61532523253504
7206054445655
oct37233166020
911753671324
104201442320
111866671889
1299307a294
1351c59235a
142bbdcdc2c
15198cb6bea
hexfa6cec10

4201442320 has 20 divisors (see below), whose sum is σ = 9768353580. Its totient is φ = 1680576896.

The previous prime is 4201442299. The next prime is 4201442327. The reversal of 4201442320 is 232441024.

It is a happy number.

4201442320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1788274944 + 2413167376 = 42288^2 + 49124^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 4201442291 and 4201442300.

It is not an unprimeable number, because it can be changed into a prime (4201442327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26258935 + ... + 26259094.

It is an arithmetic number, because the mean of its divisors is an integer number (488417679).

Almost surely, 24201442320 is an apocalyptic number.

4201442320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4201442320 is an abundant number, since it is smaller than the sum of its proper divisors (5566911260).

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

4201442320 is a wasteful number, since it uses less digits than its factorization.

4201442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52518042 (or 52518036 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4201442320 is about 64818.5337692855. The cubic root of 4201442320 is about 1613.6133138083.

Adding to 4201442320 its reverse (232441024), we get a palindrome (4433883344).

The spelling of 4201442320 in words is "four billion, two hundred one million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 52518029 105036058 210072116 262590145 420144232 525180290 840288464 1050360580 2100721160 4201442320