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42200514 = 234331787
BaseRepresentation
bin1010000011111…
…0110111000010
32221102000020000
42200332313002
541300404024
64104300430
71021461366
oct240766702
987360200
1042200514
1121903964
1212171716
138987325
1458672a6
153a88cc9
hex283edc2

42200514 has 40 divisors (see below), whose sum is σ = 94966608. Its totient is φ = 14006520.

The previous prime is 42200491. The next prime is 42200519. The reversal of 42200514 is 41500224.

42200514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42200519) 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 19 ways as a sum of consecutive naturals, for example, 53229 + ... + 54015.

Almost surely, 242200514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42200514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47483304).

42200514 is an abundant number, since it is smaller than the sum of its proper divisors (52766094).

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

42200514 is a wasteful number, since it uses less digits than its factorization.

42200514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42200514 is about 6496.1922693221. The cubic root of 42200514 is about 348.1549547739.

Adding to 42200514 its reverse (41500224), we get a palindrome (83700738).

The spelling of 42200514 in words is "forty-two million, two hundred thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 331 662 787 993 1574 1986 2361 2979 4722 5958 7083 8937 14166 17874 21249 26811 42498 53622 63747 127494 260497 520994 781491 1562982 2344473 4688946 7033419 14066838 21100257 42200514