Search a number
-
+
42406014 = 23759109157
BaseRepresentation
bin1010000111000…
…1000001111110
32221210110010010
42201301001332
541323443024
64112524050
71023305460
oct241610176
987713103
1042406014
1121a342a2
1212250626
138a29a21
1458bc130
153ac9b29
hex287107e

42406014 has 64 divisors (see below), whose sum is σ = 100108800. Its totient is φ = 11726208.

The previous prime is 42405977. The next prime is 42406019. The reversal of 42406014 is 41060424.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42406019) 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, 270024 + ... + 270180.

It is an arithmetic number, because the mean of its divisors is an integer number (1564200).

Almost surely, 242406014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42406014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50054400).

42406014 is an abundant number, since it is smaller than the sum of its proper divisors (57702786).

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

42406014 is a wasteful number, since it uses less digits than its factorization.

42406014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42406014 is about 6511.9900184199. The cubic root of 42406014 is about 348.7191660925.

Adding to 42406014 its reverse (41060424), we get a palindrome (83466438).

The spelling of 42406014 in words is "forty-two million, four hundred six thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 59 109 118 157 177 218 314 327 354 413 471 654 763 826 942 1099 1239 1526 2198 2289 2478 3297 4578 6431 6594 9263 12862 17113 18526 19293 27789 34226 38586 45017 51339 55578 64841 90034 102678 119791 129682 135051 194523 239582 270102 359373 389046 718746 1009667 2019334 3029001 6058002 7067669 14135338 21203007 42406014