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429029146 = 27132434217
BaseRepresentation
bin11001100100100…
…111011100011010
31002220021221100101
4121210213130122
51334312413041
6110323330014
713426454560
oct3144473432
91086257311
10429029146
112001a2a47
12bb82090a
136ab66700
1440d9da30
15279e9b31
hex1992771a

429029146 has 48 divisors (see below), whose sum is σ = 815120064. Its totient is φ = 165739392.

The previous prime is 429029141. The next prime is 429029147. The reversal of 429029146 is 641920924.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (429029141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99630 + ... + 103846.

It is an arithmetic number, because the mean of its divisors is an integer number (16981668).

Almost surely, 2429029146 is an apocalyptic number.

429029146 is a deficient number, since it is larger than the sum of its proper divisors (386090918).

429029146 is a wasteful number, since it uses less digits than its factorization.

429029146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 429029146 is about 20713.0187563281. The cubic root of 429029146 is about 754.2157527642.

The spelling of 429029146 in words is "four hundred twenty-nine million, twenty-nine thousand, one hundred forty-six".

Divisors: 1 2 7 13 14 26 43 86 91 169 182 301 338 559 602 1118 1183 2366 3913 4217 7267 7826 8434 14534 29519 50869 54821 59038 101738 109642 181331 362662 383747 712673 767494 1269317 1425346 2357303 2538634 4714606 4988711 9977422 16501121 30644939 33002242 61289878 214514573 429029146