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420777517 = 442195177
BaseRepresentation
bin11001000101001…
…000111000101101
31002022202201020111
4121011020320231
51330204340032
6105430420021
713266356416
oct3105107055
91068681214
10420777517
111a6577416
12b8b01611
13692378a4
143dc5280d
1526e19c47
hex19148e2d

420777517 has 4 divisors (see below), whose sum is σ = 420877116. Its totient is φ = 420677920.

The previous prime is 420777503. The next prime is 420777541. The reversal of 420777517 is 715777024.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 337493641 + 83283876 = 18371^2 + 9126^2 .

It is a cyclic number.

It is not a de Polignac number, because 420777517 - 27 = 420777389 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 420777517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420778517) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 43168 + ... + 52009.

It is an arithmetic number, because the mean of its divisors is an integer number (105219279).

Almost surely, 2420777517 is an apocalyptic number.

It is an amenable number.

420777517 is a deficient number, since it is larger than the sum of its proper divisors (99599).

420777517 is an equidigital number, since it uses as much as digits as its factorization.

420777517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99598.

The product of its (nonzero) digits is 96040, while the sum is 40.

The square root of 420777517 is about 20512.8622332428. The cubic root of 420777517 is about 749.3490749292.

It can be divided in two parts, 42077 and 7517, that added together give a palindrome (49594).

The spelling of 420777517 in words is "four hundred twenty million, seven hundred seventy-seven thousand, five hundred seventeen".

Divisors: 1 4421 95177 420777517