Search a number
-
+
12528824 = 237112432
BaseRepresentation
bin101111110010…
…110010111000
3212120112022112
4233302302320
511201410244
61124311452
7211331120
oct57626270
925515275
1012528824
117088100
124242588
132798909
141941c80
15117739e
hexbf2cb8

12528824 has 72 divisors (see below), whose sum is σ = 30212280. Its totient is φ = 4767840.

The previous prime is 12528823. The next prime is 12528853. The reversal of 12528824 is 42882521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12528823) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291347 + ... + 291389.

It is an arithmetic number, because the mean of its divisors is an integer number (419615).

Almost surely, 212528824 is an apocalyptic number.

12528824 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 12528824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106140).

12528824 is an abundant number, since it is smaller than the sum of its proper divisors (17683456).

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

12528824 is a wasteful number, since it uses less digits than its factorization.

12528824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 63 counting only the distinct ones).

The product of its digits is 10240, while the sum is 32.

The square root of 12528824 is about 3539.6078878881. The cubic root of 12528824 is about 232.2576902838.

The spelling of 12528824 in words is "twelve million, five hundred twenty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 121 154 172 242 301 308 344 473 484 602 616 847 946 968 1204 1694 1849 1892 2408 3311 3388 3698 3784 5203 6622 6776 7396 10406 12943 13244 14792 20339 20812 25886 26488 36421 40678 41624 51772 72842 81356 103544 142373 145684 162712 223729 284746 291368 447458 569492 894916 1138984 1566103 1789832 3132206 6264412 12528824