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420414471 = 32175946573
BaseRepresentation
bin11001000011110…
…000010000000111
31002022002021020100
4121003300100013
51330111230341
6105414535143
713263315111
oct3103602007
91068067210
10420414471
111a6349684
12b89674b3
136913b579
143db9a3b1
1526d973b6
hex190f0407

420414471 has 24 divisors (see below), whose sum is σ = 653898960. Its totient is φ = 259312896.

The previous prime is 420414469. The next prime is 420414487. The reversal of 420414471 is 174414024.

It is not a de Polignac number, because 420414471 - 21 = 420414469 is a prime.

It is a super-3 number, since 3×4204144713 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420414871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14260 + ... + 32313.

It is an arithmetic number, because the mean of its divisors is an integer number (27245790).

Almost surely, 2420414471 is an apocalyptic number.

420414471 is a deficient number, since it is larger than the sum of its proper divisors (233484489).

420414471 is a wasteful number, since it uses less digits than its factorization.

420414471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46655 (or 46652 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 420414471 is about 20504.0110953930. The cubic root of 420414471 is about 749.1335006240.

Adding to 420414471 its reverse (174414024), we get a palindrome (594828495).

The spelling of 420414471 in words is "four hundred twenty million, four hundred fourteen thousand, four hundred seventy-one".

Divisors: 1 3 9 17 51 59 153 177 531 1003 3009 9027 46573 139719 419157 791741 2375223 2747807 7125669 8243421 24730263 46712719 140138157 420414471