Search a number
-
+
419384421 = 321011812549
BaseRepresentation
bin11000111111110…
…100110001100101
31002020010221021100
4120333310301211
51324330300141
6105340510313
713251465051
oct3077646145
91066127240
10419384421
111a58057a5
12b854b399
1368b6a781
143d9acc61
1526c420b6
hex18ff4c65

419384421 has 24 divisors (see below), whose sum is σ = 615396600. Its totient is φ = 275184000.

The previous prime is 419384419. The next prime is 419384443. The reversal of 419384421 is 124483914.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 133402500 + 285981921 = 11550^2 + 16911^2 .

It is not a de Polignac number, because 419384421 - 21 = 419384419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419384491) 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 23 ways as a sum of consecutive naturals, for example, 163255 + ... + 165803.

It is an arithmetic number, because the mean of its divisors is an integer number (25641525).

Almost surely, 2419384421 is an apocalyptic number.

It is an amenable number.

419384421 is a deficient number, since it is larger than the sum of its proper divisors (196012179).

419384421 is a wasteful number, since it uses less digits than its factorization.

419384421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2834 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 419384421 is about 20478.8774350549. The cubic root of 419384421 is about 748.5211874008.

The spelling of 419384421 in words is "four hundred nineteen million, three hundred eighty-four thousand, four hundred twenty-one".

Divisors: 1 3 9 101 181 303 543 909 1629 2549 7647 18281 22941 54843 164529 257449 461369 772347 1384107 2317041 4152321 46598269 139794807 419384421