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430059942 = 23513431583
BaseRepresentation
bin11001101000100…
…011000110100110
31002222020022100000
4121220203012212
51340043404232
6110401402130
713441310034
oct3150430646
91088208300
10430059942
11200837444
12100039346
136b137950
144118b554
1527b5027c
hex19a231a6

430059942 has 96 divisors (see below), whose sum is σ = 1065512448. Its totient is φ = 129167136.

The previous prime is 430059907. The next prime is 430059961. The reversal of 430059942 is 249950034.

It is a junction number, because it is equal to n+sod(n) for n = 430059897 and 430059906.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 270883 + ... + 272465.

It is an arithmetic number, because the mean of its divisors is an integer number (11099088).

Almost surely, 2430059942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430059942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532756224).

430059942 is an abundant number, since it is smaller than the sum of its proper divisors (635452506).

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

430059942 is a wasteful number, since it uses less digits than its factorization.

430059942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 430059942 is about 20737.8866329238. The cubic root of 430059942 is about 754.8193021065.

The spelling of 430059942 in words is "four hundred thirty million, fifty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 81 86 117 129 162 234 243 258 351 387 486 559 702 774 1053 1118 1161 1583 1677 2106 2322 3159 3166 3354 3483 4749 5031 6318 6966 9498 10062 10449 14247 15093 20579 20898 28494 30186 41158 42741 45279 61737 68069 85482 90558 123474 128223 135837 136138 185211 204207 256446 271674 370422 384669 408414 555633 612621 769338 884897 1111266 1225242 1666899 1769794 1837863 2654691 3333798 3675726 5000697 5309382 5513589 7964073 10001394 11027178 15928146 16540767 23892219 33081534 47784438 71676657 143353314 215029971 430059942