Search a number
-
+
42411150 = 23252791193
BaseRepresentation
bin1010000111001…
…0010010001110
32221210201011100
42201302102032
541324124100
64113003530
71023326445
oct241622216
987721140
1042411150
1121a38141
12122535a6
138a2c172
1458bdd5c
153acb400
hex287248e

42411150 has 72 divisors (see below), whose sum is σ = 115483680. Its totient is φ = 11157120.

The previous prime is 42411143. The next prime is 42411151. The reversal of 42411150 is 5111424.

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 (42411151) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 34954 + ... + 36146.

It is an arithmetic number, because the mean of its divisors is an integer number (1603940).

Almost surely, 242411150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42411150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57741840).

42411150 is an abundant number, since it is smaller than the sum of its proper divisors (73072530).

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

42411150 is a wasteful number, since it uses less digits than its factorization.

42411150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 42411150 is about 6512.3843559790. The cubic root of 42411150 is about 348.7332438860.

Adding to 42411150 its reverse (5111424), we get a palindrome (47522574).

The spelling of 42411150 in words is "forty-two million, four hundred eleven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 79 90 150 158 225 237 395 450 474 711 790 1185 1193 1422 1975 2370 2386 3555 3579 3950 5925 5965 7110 7158 10737 11850 11930 17775 17895 21474 29825 35550 35790 53685 59650 89475 94247 107370 178950 188494 268425 282741 471235 536850 565482 848223 942470 1413705 1696446 2356175 2827410 4241115 4712350 7068525 8482230 14137050 21205575 42411150