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12479328 = 253243331
BaseRepresentation
bin101111100110…
…101101100000
3212111000102100
4233212231200
511143314303
61123250400
7211033611
oct57465540
925430370
1012479328
1170539a4
124219a00
13277c224
14192bc08
1511678a3
hexbe6b60

12479328 has 36 divisors (see below), whose sum is σ = 35488908. Its totient is φ = 4159680.

The previous prime is 12479321. The next prime is 12479399. The reversal of 12479328 is 82397421.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12479292 and 12479301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12479321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21378 + ... + 21953.

It is an arithmetic number, because the mean of its divisors is an integer number (985803).

Almost surely, 212479328 is an apocalyptic number.

12479328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12479328 is an abundant number, since it is smaller than the sum of its proper divisors (23009580).

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

12479328 is a wasteful number, since it uses less digits than its factorization.

12479328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43347 (or 43336 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12479328 is about 3532.6092339799. The cubic root of 12479328 is about 231.9514365256.

The spelling of 12479328 in words is "twelve million, four hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 43331 86662 129993 173324 259986 346648 389979 519972 693296 779958 1039944 1386592 1559916 2079888 3119832 4159776 6239664 12479328