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12484384 = 2511291223
BaseRepresentation
bin101111100111…
…111100100000
3212111021100121
4233213330200
511144000014
61123330024
7211054423
oct57477440
925437317
1012484384
117057780
124220914
132781613
14192d9ba
151169124
hexbe7f20

12484384 has 48 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 5474560.

The previous prime is 12484363. The next prime is 12484397. The reversal of 12484384 is 48348421.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9597 + ... + 10819.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 212484384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12484384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

12484384 is an abundant number, since it is smaller than the sum of its proper divisors (15275936).

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

12484384 is a wasteful number, since it uses less digits than its factorization.

12484384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 12484384 is about 3533.3247798639. The cubic root of 12484384 is about 231.9827573392.

The spelling of 12484384 in words is "twelve million, four hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1223 1276 2446 2552 4892 5104 9784 10208 13453 19568 26906 35467 39136 53812 70934 107624 141868 215248 283736 390137 430496 567472 780274 1134944 1560548 3121096 6242192 12484384