Search a number
-
+
42428106 = 2327834057
BaseRepresentation
bin1010000111011…
…0011011001010
32221211120102100
42201312123022
541330144411
64113214230
71023430050
oct241663312
987746370
1042428106
1121a49956
1212261376
138a36ab6
1458c61d0
153ad1456
hex28766ca

42428106 has 48 divisors (see below), whose sum is σ = 106352064. Its totient is φ = 11973312.

The previous prime is 42428093. The next prime is 42428147. The reversal of 42428106 is 60182424.

42428106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42428106.

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 23 ways as a sum of consecutive naturals, for example, 8430 + ... + 12486.

It is an arithmetic number, because the mean of its divisors is an integer number (2215668).

Almost surely, 242428106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42428106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53176032).

42428106 is an abundant number, since it is smaller than the sum of its proper divisors (63923958).

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

42428106 is a wasteful number, since it uses less digits than its factorization.

42428106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42428106 is about 6513.6860532267. The cubic root of 42428106 is about 348.7797122718.

The spelling of 42428106 in words is "forty-two million, four hundred twenty-eight thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 1162 1494 1743 3486 4057 5229 8114 10458 12171 24342 28399 36513 56798 73026 85197 170394 255591 336731 511182 673462 1010193 2020386 2357117 3030579 4714234 6061158 7071351 14142702 21214053 42428106