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420444409 = 71110751031
BaseRepresentation
bin11001000011110…
…111100011111001
31002022010210022011
4121003313203321
51330113210114
6105415325521
713263501310
oct3103674371
91068123264
10420444409
111a636a120
12b89808a1
136914c098
143dba7277
1526da11c4
hex190f78f9

420444409 has 16 divisors (see below), whose sum is σ = 529099776. Its totient is φ = 324550800.

The previous prime is 420444403. The next prime is 420444419. The reversal of 420444409 is 904444024.

It is not a de Polignac number, because 420444409 - 211 = 420442361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420444403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17277 + ... + 33754.

It is an arithmetic number, because the mean of its divisors is an integer number (33068736).

Almost surely, 2420444409 is an apocalyptic number.

It is an amenable number.

420444409 is a deficient number, since it is larger than the sum of its proper divisors (108655367).

420444409 is a wasteful number, since it uses less digits than its factorization.

420444409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51156.

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 420444409 is about 20504.7411346742. The cubic root of 420444409 is about 749.1512823037.

The spelling of 420444409 in words is "four hundred twenty million, four hundred forty-four thousand, four hundred nine".

Divisors: 1 7 11 77 107 749 1177 8239 51031 357217 561341 3929387 5460317 38222219 60063487 420444409