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429797480 = 23571980789
BaseRepresentation
bin11001100111100…
…011000001101000
31002221201222022012
4121213203001220
51340012004410
6110352015052
713436134610
oct3147430150
91087658265
10429797480
11200678232
12bbb31488
136b075348
144111da40
1527aec605
hex199e3068

429797480 has 64 divisors (see below), whose sum is σ = 1163376000. Its totient is φ = 139601664.

The previous prime is 429797479. The next prime is 429797483. The reversal of 429797480 is 84797924.

It is not an unprimeable number, because it can be changed into a prime (429797483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35075 + ... + 45714.

It is an arithmetic number, because the mean of its divisors is an integer number (18177750).

Almost surely, 2429797480 is an apocalyptic number.

429797480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

429797480 is an abundant number, since it is smaller than the sum of its proper divisors (733578520).

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

429797480 is a wasteful number, since it uses less digits than its factorization.

429797480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80826 (or 80822 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 429797480 is about 20731.5575874077. The cubic root of 429797480 is about 754.6657175478.

The spelling of 429797480 in words is "four hundred twenty-nine million, seven hundred ninety-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 80789 161578 323156 403945 565523 646312 807890 1131046 1534991 1615780 2262092 2827615 3069982 3231560 4524184 5655230 6139964 7674955 10744937 11310460 12279928 15349910 21489874 22620920 30699820 42979748 53724685 61399640 85959496 107449370 214898740 429797480