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12251382 = 231113109131
BaseRepresentation
bin101110101111…
…000011110110
3212001102201220
4232233003312
511114021012
61114331210
7206064213
oct56570366
925042656
1012251382
116a08710
124129b06
1326cc550
1418acb0a
15112008c
hexbaf0f6

12251382 has 64 divisors (see below), whose sum is σ = 29272320. Its totient is φ = 3369600.

The previous prime is 12251363. The next prime is 12251389. The reversal of 12251382 is 28315221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12251389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93457 + ... + 93587.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 212251382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12251382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14636160).

12251382 is an abundant number, since it is smaller than the sum of its proper divisors (17020938).

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

12251382 is a wasteful number, since it uses less digits than its factorization.

12251382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269.

The product of its digits is 960, while the sum is 24.

The square root of 12251382 is about 3500.1974230035. The cubic root of 12251382 is about 230.5304831517.

The spelling of 12251382 in words is "twelve million, two hundred fifty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 109 131 143 218 262 286 327 393 429 654 786 858 1199 1417 1441 1703 2398 2834 2882 3406 3597 4251 4323 5109 7194 8502 8646 10218 14279 15587 18733 28558 31174 37466 42837 46761 56199 85674 93522 112398 157069 185627 314138 371254 471207 556881 942414 1113762 2041897 4083794 6125691 12251382