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429011627 = 11531794111
BaseRepresentation
bin11001100100100…
…011001010101011
31002220021001022112
4121210203022223
51334311333002
6110323112535
713426352522
oct3144431253
91086231275
10429011627
11200190870
12bb81274b
136ab5b745
1440d974b9
15279e4852
hex199232ab

429011627 has 16 divisors (see below), whose sum is σ = 479623680. Its totient is φ = 380421600.

The previous prime is 429011603. The next prime is 429011647. The reversal of 429011627 is 726110924.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 429011627 - 212 = 429007531 is a prime.

It is a super-2 number, since 2×4290116272 = 368101952202374258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 429011593 and 429011602.

It is not an unprimeable number, because it can be changed into a prime (429011647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102302 + ... + 106412.

It is an arithmetic number, because the mean of its divisors is an integer number (29976480).

Almost surely, 2429011627 is an apocalyptic number.

429011627 is a deficient number, since it is larger than the sum of its proper divisors (50612053).

429011627 is a wasteful number, since it uses less digits than its factorization.

429011627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 429011627 is about 20712.5958537311. The cubic root of 429011627 is about 754.2054867285.

The spelling of 429011627 in words is "four hundred twenty-nine million, eleven thousand, six hundred twenty-seven".

Divisors: 1 11 53 179 583 1969 4111 9487 45221 104357 217883 735869 2396713 8094559 39001057 429011627