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12448332 = 22321367397
BaseRepresentation
bin101111011111…
…001001001100
3212102102220100
4233133021030
511141321312
61122451100
7210544341
oct57371114
925372810
1012448332
117032686
124203a90
13276b0a0
1419207c8
15115d5dc
hexbdf24c

12448332 has 72 divisors (see below), whose sum is σ = 34479536. Its totient is φ = 3763584.

The previous prime is 12448327. The next prime is 12448333. The reversal of 12448332 is 23384421.

It is a junction number, because it is equal to n+sod(n) for n = 12448296 and 12448305.

It is not an unprimeable number, because it can be changed into a prime (12448333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31158 + ... + 31554.

Almost surely, 212448332 is an apocalyptic number.

12448332 is a gapful number since it is divisible by the number (12) 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 12448332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17239768).

12448332 is an abundant number, since it is smaller than the sum of its proper divisors (22031204).

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

12448332 is a wasteful number, since it uses less digits than its factorization.

12448332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 482 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 12448332 is about 3528.2193809342. The cubic root of 12448332 is about 231.7592379444.

The spelling of 12448332 in words is "twelve million, four hundred forty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 397 402 468 603 794 804 871 1191 1206 1588 1742 2382 2412 2613 3484 3573 4764 5161 5226 7146 7839 10322 10452 14292 15483 15678 20644 26599 30966 31356 46449 53198 61932 79797 92898 106396 159594 185796 239391 319188 345787 478782 691574 957564 1037361 1383148 2074722 3112083 4149444 6224166 12448332