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419601429 = 321317210961
BaseRepresentation
bin11001000000101…
…001110000010101
31002020112221221200
4121000221300111
51324404221204
6105345303113
713253360532
oct3100516025
91066487850
10419601429
111a5943845
12b8634a99
1368c15490
143da27d89
1526c86539
hex19029c15

419601429 has 24 divisors (see below), whose sum is σ = 691111512. Its totient is φ = 243025920.

The previous prime is 419601419. The next prime is 419601449. The reversal of 419601429 is 924106914.

It is a happy number.

419601429 is a `hidden beast` number, since 4 + 1 + 9 + 601 + 42 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140778225 + 278823204 = 11865^2 + 16698^2 .

It is not a de Polignac number, because 419601429 - 28 = 419601173 is a prime.

It is a super-3 number, since 3×4196014293 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 419601393 and 419601402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419601419) 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, 103492 + ... + 107469.

It is an arithmetic number, because the mean of its divisors is an integer number (28796313).

Almost surely, 2419601429 is an apocalyptic number.

It is an amenable number.

419601429 is a deficient number, since it is larger than the sum of its proper divisors (271510083).

419601429 is a wasteful number, since it uses less digits than its factorization.

419601429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210997 (or 210994 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 419601429 is about 20484.1750871252. The cubic root of 419601429 is about 748.6502710996.

The spelling of 419601429 in words is "four hundred nineteen million, six hundred one thousand, four hundred twenty-nine".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 210961 632883 1898649 2742493 3586337 8227479 10759011 24682437 32277033 46622381 139867143 419601429