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12421248 = 27374621
BaseRepresentation
bin101111011000…
…100010000000
3212101001202020
4233120202000
511134434443
61122121440
7210402360
oct57304200
925331666
1012421248
1170142a4
1241b0280
13275b968
1419149a0
151155583
hexbd8880

12421248 has 64 divisors (see below), whose sum is σ = 37715520. Its totient is φ = 3548160.

The previous prime is 12421243. The next prime is 12421261. The reversal of 12421248 is 84212421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (12421243) 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, 378 + ... + 4998.

It is an arithmetic number, because the mean of its divisors is an integer number (589305).

Almost surely, 212421248 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 12421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18857760).

12421248 is an abundant number, since it is smaller than the sum of its proper divisors (25294272).

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

12421248 is an equidigital number, since it uses as much as digits as its factorization.

12421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4633 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 12421248 is about 3524.3790942519. The cubic root of 12421248 is about 231.5910353557.

Adding to 12421248 its reverse (84212421), we get a palindrome (96633669).

The spelling of 12421248 in words is "twelve million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4621 9242 13863 18484 27726 32347 36968 55452 64694 73936 97041 110904 129388 147872 194082 221808 258776 295744 388164 443616 517552 591488 776328 887232 1035104 1552656 1774464 2070208 3105312 4140416 6210624 12421248