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12485144 = 2371131973
BaseRepresentation
bin101111101000…
…001000011000
3212111022101202
4233220020120
511144011034
61123333332
7211056560
oct57501030
925438352
1012485144
117058301
124221248
132781a79
14192dda0
15116947e
hexbe8218

12485144 has 32 divisors (see below), whose sum is σ = 27004320. Its totient is φ = 5300736.

The previous prime is 12485141. The next prime is 12485233. The reversal of 12485144 is 44158421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12485141) 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, 5342 + ... + 7314.

It is an arithmetic number, because the mean of its divisors is an integer number (843885).

Almost surely, 212485144 is an apocalyptic number.

12485144 is a gapful number since it is divisible by the number (14) 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 12485144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13502160).

12485144 is an abundant number, since it is smaller than the sum of its proper divisors (14519176).

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

12485144 is a wasteful number, since it uses less digits than its factorization.

12485144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2095 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 12485144 is about 3533.4323256573. The cubic root of 12485144 is about 231.9874646418.

The spelling of 12485144 in words is "twelve million, four hundred eighty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1582 1973 3164 3946 6328 7892 13811 15784 27622 55244 110488 222949 445898 891796 1560643 1783592 3121286 6242572 12485144