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12581472 = 253831579
BaseRepresentation
bin101111111111…
…101001100000
3212200012112110
4233333221200
511210101342
61125355320
7211640451
oct57775140
925605473
1012581472
117113712
124268b40
1327b6877
141957128
151187c9c
hexbffa60

12581472 has 48 divisors (see below), whose sum is σ = 33445440. Its totient is φ = 4140672.

The previous prime is 12581467. The next prime is 12581473. The reversal of 12581472 is 27418521.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12581473) 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, 7179 + ... + 8757.

It is an arithmetic number, because the mean of its divisors is an integer number (696780).

Almost surely, 212581472 is an apocalyptic number.

12581472 is a gapful number since it is divisible by the number (12) 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 12581472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722720).

12581472 is an abundant number, since it is smaller than the sum of its proper divisors (20863968).

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

12581472 is a wasteful number, since it uses less digits than its factorization.

12581472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1667 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 12581472 is about 3547.0370733896. The cubic root of 12581472 is about 232.5825628849.

Adding to 12581472 its reverse (27418521), we get a palindrome (39999993).

The spelling of 12581472 in words is "twelve million, five hundred eighty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1579 1992 2656 3158 3984 4737 6316 7968 9474 12632 18948 25264 37896 50528 75792 131057 151584 262114 393171 524228 786342 1048456 1572684 2096912 3145368 4193824 6290736 12581472