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419029923 = 31321761797
BaseRepresentation
bin11000111110011…
…110001110100011
31002012110220222210
4120332132032203
51324232424143
6105325133203
713245460404
oct3076361643
91065426883
10419029923
111a5593424
12b83ba203
1368a75300
143d9199ab
1526bc2033
hex18f9e3a3

419029923 has 48 divisors (see below), whose sum is σ = 651895776. Its totient is φ = 238417920.

The previous prime is 419029873. The next prime is 419029943. The reversal of 419029923 is 329920914.

It is not a de Polignac number, because 419029923 - 210 = 419028899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (419029943) 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 47 ways as a sum of consecutive naturals, for example, 525361 + ... + 526157.

It is an arithmetic number, because the mean of its divisors is an integer number (13581162).

Almost surely, 2419029923 is an apocalyptic number.

419029923 is a deficient number, since it is larger than the sum of its proper divisors (232865853).

419029923 is a wasteful number, since it uses less digits than its factorization.

419029923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 419029923 is about 20470.2203945146. The cubic root of 419029923 is about 748.3102241805.

The spelling of 419029923 in words is "four hundred nineteen million, twenty-nine thousand, nine hundred twenty-three".

Divisors: 1 3 13 17 39 51 61 169 183 221 507 663 793 797 1037 2379 2391 2873 3111 8619 10309 10361 13481 13549 30927 31083 40443 40647 48617 134693 145851 175253 176137 404079 525759 528411 632021 826489 1896063 2289781 2479467 6869343 8216273 10744357 24648819 32233071 139676641 419029923