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42430014 = 23311611171
BaseRepresentation
bin1010000111011…
…0111000111110
32221211200001000
42201312320332
541330230024
64113231130
71023435444
oct241667076
987750030
1042430014
1121a50330
12122624a6
138a37923
1458c6b94
153ad1cc9
hex2876e3e

42430014 has 64 divisors (see below), whose sum is σ = 104636160. Its totient is φ = 12636000.

The previous prime is 42430007. The next prime is 42430019. The reversal of 42430014 is 41003424.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42430019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35649 + ... + 36819.

It is an arithmetic number, because the mean of its divisors is an integer number (1634940).

Almost surely, 242430014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42430014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52318080).

42430014 is an abundant number, since it is smaller than the sum of its proper divisors (62206146).

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

42430014 is a wasteful number, since it uses less digits than its factorization.

42430014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42430014 is about 6513.8325124308. The cubic root of 42430014 is about 348.7849404234.

Adding to 42430014 its reverse (41003424), we get a palindrome (83433438).

The spelling of 42430014 in words is "forty-two million, four hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 122 183 198 297 366 549 594 671 1098 1171 1342 1647 2013 2342 3294 3513 4026 6039 7026 10539 12078 12881 18117 21078 25762 31617 36234 38643 63234 71431 77286 115929 142862 214293 231858 347787 428586 642879 695574 785741 1285758 1571482 1928637 2357223 3857274 4714446 7071669 14143338 21215007 42430014