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12427848 = 23321011709
BaseRepresentation
bin101111011010…
…001001001000
3212101101210200
4233122021020
511140142343
61122212200
7210430536
oct57321110
925341720
1012427848
117019254
1241b4060
132761974
141917156
1511574d3
hexbda248

12427848 has 48 divisors (see below), whose sum is σ = 34011900. Its totient is φ = 4099200.

The previous prime is 12427847. The next prime is 12427859. The reversal of 12427848 is 84872421.

It can be written as a sum of positive squares in 2 ways, for example, as 12236004 + 191844 = 3498^2 + 438^2 .

It is a super-2 number, since 2×124278482 = 308902811822208, which contains 22 as substring.

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 (12427841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6418 + ... + 8126.

Almost surely, 212427848 is an apocalyptic number.

12427848 is a gapful number since it is divisible by the number (18) 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 12427848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005950).

12427848 is an abundant number, since it is smaller than the sum of its proper divisors (21584052).

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

12427848 is a wasteful number, since it uses less digits than its factorization.

12427848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1815 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 12427848 is about 3525.3153050472. The cubic root of 12427848 is about 231.6320465378.

It can be divided in two parts, 124 and 27848, that added together give a palindrome (27972).

The spelling of 12427848 in words is "twelve million, four hundred twenty-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1709 1818 2424 3418 3636 5127 6836 7272 10254 13672 15381 20508 30762 41016 61524 123048 172609 345218 517827 690436 1035654 1380872 1553481 2071308 3106962 4142616 6213924 12427848