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429538824 = 2332111341719
BaseRepresentation
bin11001100110100…
…011111000001000
31002221020211111100
4121212203320020
51334430220244
6110342301400
713434006531
oct3146437010
91087224440
10429538824
11200510970
12bba27860
136acb46b0
1441093688
1527a9ab69
hex199a3e08

429538824 has 96 divisors (see below), whose sum is σ = 1366747200. Its totient is φ = 120147840.

The previous prime is 429538817. The next prime is 429538841. The reversal of 429538824 is 428835924.

It is a self number, because there is not a number n which added to its sum of digits gives 429538824.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10564 + ... + 31155.

It is an arithmetic number, because the mean of its divisors is an integer number (14236950).

Almost surely, 2429538824 is an apocalyptic number.

429538824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

429538824 is an abundant number, since it is smaller than the sum of its proper divisors (937208376).

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

429538824 is a wasteful number, since it uses less digits than its factorization.

429538824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41755 (or 41748 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 429538824 is about 20725.3184293993. The cubic root of 429538824 is about 754.5142989568.

The spelling of 429538824 in words is "four hundred twenty-nine million, five hundred thirty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 41719 83438 125157 166876 250314 333752 375471 458909 500628 542347 750942 917818 1001256 1084694 1376727 1501884 1627041 1835636 2169388 2753454 3003768 3254082 3671272 4130181 4338776 4881123 5506908 5965817 6508164 8260362 9762246 11013816 11931634 13016328 16520724 17897451 19524492 23863268 33041448 35794902 39048984 47726536 53692353 71589804 107384706 143179608 214769412 429538824