Search a number
-
+
42235350 = 23522711039
BaseRepresentation
bin1010000100011…
…1010111010110
32221110210000020
42201013113112
541303012400
64105130010
71021665063
oct241072726
987423006
1042235350
1121928053
1212189906
13899a141
145875c6a
153a942a0
hex28475d6

42235350 has 48 divisors (see below), whose sum is σ = 105231360. Its totient is φ = 11210400.

The previous prime is 42235343. The next prime is 42235357. The reversal of 42235350 is 5353224.

42235350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42235343) and next prime (42235357).

It is a self number, because there is not a number n which added to its sum of digits gives 42235350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42235357) 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 23 ways as a sum of consecutive naturals, for example, 40131 + ... + 41169.

It is an arithmetic number, because the mean of its divisors is an integer number (2192320).

Almost surely, 242235350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42235350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52615680).

42235350 is an abundant number, since it is smaller than the sum of its proper divisors (62996010).

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

42235350 is a wasteful number, since it uses less digits than its factorization.

42235350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 42235350 is about 6498.8729792172. The cubic root of 42235350 is about 348.2507276222.

Adding to 42235350 its reverse (5353224), we get a palindrome (47588574).

The spelling of 42235350 in words is "forty-two million, two hundred thirty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 271 542 813 1039 1355 1626 2078 2710 3117 4065 5195 6234 6775 8130 10390 13550 15585 20325 25975 31170 40650 51950 77925 155850 281569 563138 844707 1407845 1689414 2815690 4223535 7039225 8447070 14078450 21117675 42235350