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12852414 = 232312743
BaseRepresentation
bin110001000001…
…110010111110
3220011222012100
4301001302332
511242234124
61135245530
7214146411
oct61016276
926158170
1012852414
117289233
1243798a6
13287cca3
1419c7b78
1511dd1c9
hexc41cbe

12852414 has 36 divisors (see below), whose sum is σ = 28812888. Its totient is φ = 4140360.

The previous prime is 12852373. The next prime is 12852419. The reversal of 12852414 is 41425821.

12852414 is a `hidden beast` number, since 128 + 524 + 14 = 666.

12852414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12852419) 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, 16927 + ... + 17669.

It is an arithmetic number, because the mean of its divisors is an integer number (800358).

Almost surely, 212852414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12852414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14406444).

12852414 is an abundant number, since it is smaller than the sum of its proper divisors (15960474).

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

12852414 is a wasteful number, since it uses less digits than its factorization.

12852414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 779 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 12852414 is about 3585.0263597357. The cubic root of 12852414 is about 234.2402747844.

The spelling of 12852414 in words is "twelve million, eight hundred fifty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 743 961 1486 1922 2229 2883 4458 5766 6687 8649 13374 17298 23033 46066 69099 138198 207297 414594 714023 1428046 2142069 4284138 6426207 12852414