Search a number
-
+
42749226 = 2321332347
BaseRepresentation
bin1010001100010…
…0110100101010
32222102212220200
42203010310222
541420433401
64124133030
71026235212
oct243046452
988385820
1042749226
1122149143
1212397176
138b1a000
14596b242
153b46686
hex28c4d2a

42749226 has 96 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 12314016.

The previous prime is 42749207. The next prime is 42749251. The reversal of 42749226 is 62294724.

42749226 is a `hidden beast` number, since 427 + 4 + 9 + 226 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909535 + ... + 909581.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 242749226 is an apocalyptic number.

42749226 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42749226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

42749226 is an abundant number, since it is smaller than the sum of its proper divisors (64179414).

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

42749226 is a wasteful number, since it uses less digits than its factorization.

42749226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 88 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 42749226 is about 6538.2892257838. The cubic root of 42749226 is about 349.6574226204.

The spelling of 42749226 in words is "forty-two million, seven hundred forty-nine thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 47 69 78 94 117 138 141 169 207 234 282 299 338 414 423 507 598 611 846 897 1014 1081 1222 1521 1794 1833 2162 2197 2691 3042 3243 3666 3887 4394 5382 5499 6486 6591 7774 7943 9729 10998 11661 13182 14053 15886 19458 19773 23322 23829 28106 34983 39546 42159 47658 50531 69966 71487 84318 101062 103259 126477 142974 151593 182689 206518 252954 303186 309777 365378 454779 548067 619554 909558 929331 1096134 1644201 1858662 2374957 3288402 4749914 7124871 14249742 21374613 42749226