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12428248 = 237415413
BaseRepresentation
bin101111011010…
…001111011000
3212101102100111
4233122033120
511140200443
61122214104
7210431650
oct57321730
925342314
1012428248
117019588
1241b4334
132761bc1
141917360
15115769d
hexbda3d8

12428248 has 32 divisors (see below), whose sum is σ = 27286560. Its totient is φ = 5195520.

The previous prime is 12428243. The next prime is 12428279. The reversal of 12428248 is 84282421.

It is a super-2 number, since 2×124282482 = 308922696699008, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12428243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411 + ... + 5002.

It is an arithmetic number, because the mean of its divisors is an integer number (852705).

Almost surely, 212428248 is an apocalyptic number.

It is an amenable number.

12428248 is an abundant number, since it is smaller than the sum of its proper divisors (14858312).

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

12428248 is a wasteful number, since it uses less digits than its factorization.

12428248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5463 counting only the distinct ones).

The product of its digits is 8192, while the sum is 31.

The square root of 12428248 is about 3525.3720371047. The cubic root of 12428248 is about 231.6345315973.

The spelling of 12428248 in words is "twelve million, four hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 1148 2296 5413 10826 21652 37891 43304 75782 151564 221933 303128 443866 887732 1553531 1775464 3107062 6214124 12428248