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429473044 = 227311213199
BaseRepresentation
bin11001100110010…
…011110100010100
31002221010111021001
4121212103310110
51334421114134
6110341033044
713433314000
oct3146236424
91087114231
10429473044
11200476500
12bb9b5784
136ac90780
1441077700
1527a86414
hex19993d14

429473044 has 144 divisors (see below), whose sum is σ = 1042720000. Its totient is φ = 153679680.

The previous prime is 429473003. The next prime is 429473059. The reversal of 429473044 is 440374924.

It is a junction number, because it is equal to n+sod(n) for n = 429472994 and 429473012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2158057 + ... + 2158255.

Almost surely, 2429473044 is an apocalyptic number.

429473044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429473044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521360000).

429473044 is an abundant number, since it is smaller than the sum of its proper divisors (613246956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429473044 is a wasteful number, since it uses less digits than its factorization.

429473044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 429473044 is about 20723.7314207649. The cubic root of 429473044 is about 754.4757813021.

The spelling of 429473044 in words is "four hundred twenty-nine million, four hundred seventy-three thousand, forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 121 143 154 182 196 199 242 286 308 343 364 398 484 539 572 637 686 796 847 1001 1078 1274 1372 1393 1573 1694 2002 2156 2189 2548 2587 2786 3146 3388 3773 4004 4378 4459 5174 5572 5929 6292 7007 7546 8756 8918 9751 10348 11011 11858 14014 15092 15323 17836 18109 19502 22022 23716 24079 28028 28457 30646 36218 39004 41503 44044 48158 49049 56914 61292 68257 72436 77077 83006 96316 98098 107261 113828 126763 136514 154154 166012 168553 196196 199199 214522 253526 273028 308308 313027 337106 398398 429044 507052 539539 626054 674212 750827 796796 887341 1079078 1179871 1252108 1394393 1501654 1774682 2158156 2191189 2359742 2788786 3003308 3549364 4382378 4719484 5577572 8259097 8764756 9760751 15338323 16518194 19521502 30676646 33036388 39043004 61353292 107368261 214736522 429473044