Search a number
-
+
12425504 = 2571317251
BaseRepresentation
bin101111011001…
…100100100000
3212101021120212
4233121210200
511140104004
61122153252
7210420650
oct57314440
925337525
1012425504
117017513
1241b2828
132760890
141916360
15115696e
hexbd9920

12425504 has 96 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 4608000.

The previous prime is 12425503. The next prime is 12425509. The reversal of 12425504 is 40552421.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12425504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12425503) 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 15 ways as a sum of consecutive naturals, for example, 49379 + ... + 49629.

It is an arithmetic number, because the mean of its divisors is an integer number (333396).

Almost surely, 212425504 is an apocalyptic number.

12425504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12425504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

12425504 is an abundant number, since it is smaller than the sum of its proper divisors (19580512).

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

12425504 is a wasteful number, since it uses less digits than its factorization.

12425504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 12425504 is about 3524.9828368376. The cubic root of 12425504 is about 231.6174830173.

Adding to 12425504 its reverse (40552421), we get a palindrome (52977925).

The spelling of 12425504 in words is "twelve million, four hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 182 208 221 224 238 251 272 364 416 442 476 502 544 728 884 952 1004 1456 1547 1757 1768 1904 2008 2912 3094 3263 3514 3536 3808 4016 4267 6188 6526 7028 7072 8032 8534 12376 13052 14056 17068 22841 24752 26104 28112 29869 34136 45682 49504 52208 55471 56224 59738 68272 91364 104416 110942 119476 136544 182728 221884 238952 365456 388297 443768 477904 730912 776594 887536 955808 1553188 1775072 3106376 6212752 12425504