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42813430 = 2511241863
BaseRepresentation
bin1010001101010…
…0011111110110
32222120010222121
42203110133312
541430012210
64125350154
71026623332
oct243243766
988503877
1042813430
1122192400
121240835a
138b402ba
1459867c2
153b5a6da
hex28d47f6

42813430 has 48 divisors (see below), whose sum is σ = 86873472. Its totient is φ = 15171200.

The previous prime is 42813427. The next prime is 42813431. The reversal of 42813430 is 3431824.

It is a junction number, because it is equal to n+sod(n) for n = 42813395 and 42813404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42813431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49179 + ... + 50041.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 242813430 is an apocalyptic number.

42813430 is an abundant number, since it is smaller than the sum of its proper divisors (44060042).

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

42813430 is a wasteful number, since it uses less digits than its factorization.

42813430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 42813430 is about 6543.1972307122. The cubic root of 42813430 is about 349.8323823245.

The spelling of 42813430 in words is "forty-two million, eight hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 41 55 82 110 121 205 242 410 451 605 863 902 1210 1726 2255 4315 4510 4961 8630 9493 9922 18986 24805 35383 47465 49610 70766 94930 104423 176915 208846 353830 389213 522115 778426 1044230 1946065 3892130 4281343 8562686 21406715 42813430