Search a number
-
+
42410250 = 2335361103
BaseRepresentation
bin1010000111001…
…0000100001010
32221210122221000
42201302010022
541324112000
64112555430
71023324021
oct241620412
987718830
1042410250
1121a374a3
1212252b76
138a2b92c
1458bd8b8
153acb000
hex287210a

42410250 has 128 divisors (see below), whose sum is σ = 120706560. Its totient is φ = 11016000.

The previous prime is 42410239. The next prime is 42410273. The reversal of 42410250 is 5201424.

42410250 is a `hidden beast` number, since 4 + 2 + 410 + 250 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411699 + ... + 411801.

It is an arithmetic number, because the mean of its divisors is an integer number (943020).

Almost surely, 242410250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42410250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60353280).

42410250 is an abundant number, since it is smaller than the sum of its proper divisors (78296310).

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

42410250 is a wasteful number, since it uses less digits than its factorization.

42410250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42410250 is about 6512.3152564967. The cubic root of 42410250 is about 348.7307770651.

Adding to 42410250 its reverse (5201424), we get a palindrome (47611674).

The spelling of 42410250 in words is "forty-two million, four hundred ten thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 61 75 90 103 122 125 135 150 183 206 225 250 270 305 309 366 375 450 515 549 610 618 675 750 915 927 1030 1098 1125 1350 1525 1545 1647 1830 1854 2250 2575 2745 2781 3050 3090 3294 3375 4575 4635 5150 5490 5562 6283 6750 7625 7725 8235 9150 9270 12566 12875 13725 13905 15250 15450 16470 18849 22875 23175 25750 27450 27810 31415 37698 38625 41175 45750 46350 56547 62830 68625 69525 77250 82350 94245 113094 115875 137250 139050 157075 169641 188490 205875 231750 282735 314150 339282 347625 411750 471225 565470 695250 785375 848205 942450 1413675 1570750 1696410 2356125 2827350 4241025 4712250 7068375 8482050 14136750 21205125 42410250