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429105519 = 34191032707
BaseRepresentation
bin11001100100111…
…010000101101111
31002220102211010000
4121210322011233
51334322334034
6110325115343
713430223333
oct3144720557
91086384100
10429105519
11200245367
12bb858b53
136ab923bb
1440dbd7c3
1527a12599
hex1993a16f

429105519 has 40 divisors (see below), whose sum is σ = 681549440. Its totient is φ = 268283664.

The previous prime is 429105497. The next prime is 429105527. The reversal of 429105519 is 915501924.

It is not a de Polignac number, because 429105519 - 213 = 429097327 is a prime.

It is a super-2 number, since 2×4291055192 = 368263092872518722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429104519) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157164 + ... + 159870.

It is an arithmetic number, because the mean of its divisors is an integer number (17038736).

Almost surely, 2429105519 is an apocalyptic number.

429105519 is a deficient number, since it is larger than the sum of its proper divisors (252443921).

429105519 is a wasteful number, since it uses less digits than its factorization.

429105519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 429105519 is about 20714.8622732569. The cubic root of 429105519 is about 754.2605036493.

The spelling of 429105519 in words is "four hundred twenty-nine million, one hundred five thousand, five hundred nineteen".

Divisors: 1 3 9 19 27 57 81 103 171 309 513 927 1539 1957 2707 2781 5871 8121 8343 17613 24363 51433 52839 73089 154299 158517 219267 278821 462897 836463 1388691 2509389 4166073 5297599 7528167 15892797 22584501 47678391 143035173 429105519