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429888319 = 72191034483
BaseRepresentation
bin11001100111111…
…001001100111111
31002221220120220121
4121213321030333
51340022411234
6110353555411
713436663500
oct3147711477
91087816817
10429888319
1120072a503
12bbb75b67
136b0a77b3
1441144ba7
1527b194b4
hex199f933f

429888319 has 24 divisors (see below), whose sum is σ = 531623040. Its totient is φ = 345615984.

The previous prime is 429888317. The next prime is 429888323. The reversal of 429888319 is 913888924.

It is not a de Polignac number, because 429888319 - 21 = 429888317 is a prime.

It is a super-2 number, since 2×4298883192 = 369607933625291522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429888317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93652 + ... + 98134.

It is an arithmetic number, because the mean of its divisors is an integer number (22150960).

Almost surely, 2429888319 is an apocalyptic number.

429888319 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

429888319 is a deficient number, since it is larger than the sum of its proper divisors (101734721).

429888319 is a wasteful number, since it uses less digits than its factorization.

429888319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4612 counting only the distinct ones).

The product of its digits is 995328, while the sum is 52.

The square root of 429888319 is about 20733.7483104238. The cubic root of 429888319 is about 754.7188807647.

The spelling of 429888319 in words is "four hundred twenty-nine million, eight hundred eighty-eight thousand, three hundred nineteen".

Divisors: 1 7 19 49 103 133 721 931 1957 4483 5047 13699 31381 85177 95893 219667 461749 596239 3232243 4173673 8773231 22625701 61412617 429888319