Search a number
-
+
63253242 = 232131941347
BaseRepresentation
bin1111000101001…
…0101011111010
311102000121010200
43301102223322
5112143100432
610135423030
71365433533
oct361225372
9142017120
1063253242
1132783108
1219224a76
1310148970
14858768a
155846a7c
hex3c52afa

63253242 has 96 divisors (see below), whose sum is σ = 159606720. Its totient is φ = 17936640.

The previous prime is 63253217. The next prime is 63253247. The reversal of 63253242 is 24235236.

63253242 is a `hidden beast` number, since 632 + 5 + 3 + 24 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (63253247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182113 + ... + 182459.

It is an arithmetic number, because the mean of its divisors is an integer number (1662570).

Almost surely, 263253242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63253242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79803360).

63253242 is an abundant number, since it is smaller than the sum of its proper divisors (96353478).

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

63253242 is a wasteful number, since it uses less digits than its factorization.

63253242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 63253242 is about 7953.1906804754. The cubic root of 63253242 is about 398.4381637728.

Adding to 63253242 its reverse (24235236), we get a palindrome (87488478).

The spelling of 63253242 in words is "sixty-three million, two hundred fifty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 41 57 78 82 114 117 123 171 234 246 247 342 347 369 494 533 694 738 741 779 1041 1066 1482 1558 1599 2082 2223 2337 3123 3198 4446 4511 4674 4797 6246 6593 7011 9022 9594 10127 13186 13533 14022 14227 19779 20254 27066 28454 30381 39558 40599 42681 59337 60762 81198 85362 85709 91143 118674 128043 171418 182286 184951 256086 257127 270313 369902 514254 540626 554853 771381 810939 1109706 1542762 1621878 1664559 2432817 3329118 3514069 4865634 7028138 10542207 21084414 31626621 63253242