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429069906 = 23329311881
BaseRepresentation
bin11001100100110…
…001011001010010
31002220101000021000
4121210301121102
51334320214111
6110324242430
713430014446
oct3144613122
91086330230
10429069906
11200220631
12bb840416
136ab7c125
1440db0826
1527a06c56
hex19931652

429069906 has 64 divisors (see below), whose sum is σ = 990662400. Its totient is φ = 137491200.

The previous prime is 429069887. The next prime is 429069923. The reversal of 429069906 is 609960924.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 486586 + ... + 487466.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 2429069906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429069906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

429069906 is an abundant number, since it is smaller than the sum of its proper divisors (561592494).

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

429069906 is a wasteful number, since it uses less digits than its factorization.

429069906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 429069906 is about 20714.0026552089. The cubic root of 429069906 is about 754.2396368141.

The spelling of 429069906 in words is "four hundred twenty-nine million, sixty-nine thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 311 522 622 783 881 933 1566 1762 1866 2643 2799 5286 5598 7929 8397 9019 15858 16794 18038 23787 25549 27057 47574 51098 54114 76647 81171 153294 162342 229941 243513 273991 459882 487026 547982 689823 821973 1379646 1643946 2465919 4931838 7397757 7945739 14795514 15891478 23837217 47674434 71511651 143023302 214534953 429069906