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12248964 = 22327133739
BaseRepresentation
bin101110101110…
…011110000100
3212001022102100
4232232132010
511113431324
61114312100
7206054160
oct56563604
925038370
1012248964
116a06912
124128630
1326cb410
1418abca0
15111e4c9
hexbae784

12248964 has 72 divisors (see below), whose sum is σ = 38118080. Its totient is φ = 3229632.

The previous prime is 12248963. The next prime is 12249011. The reversal of 12248964 is 46984221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12248963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407 + ... + 5145.

Almost surely, 212248964 is an apocalyptic number.

12248964 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 12248964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19059040).

12248964 is an abundant number, since it is smaller than the sum of its proper divisors (25869116).

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

12248964 is a wasteful number, since it uses less digits than its factorization.

12248964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3764 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 12248964 is about 3499.8519968707. The cubic root of 12248964 is about 230.5153159000.

The spelling of 12248964 in words is "twelve million, two hundred forty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 3739 7478 11217 14956 22434 26173 33651 44868 48607 52346 67302 78519 97214 104692 134604 145821 157038 194428 235557 291642 314076 340249 437463 471114 583284 680498 874926 942228 1020747 1360996 1749852 2041494 3062241 4082988 6124482 12248964