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12479936 = 26789313
BaseRepresentation
bin101111100110…
…110111000000
3212111001020212
4233212313000
511143324221
61123253252
7211035440
oct57466700
925431225
1012479936
1170543a7
12421a228
13277c5a1
14192c120
151167b5b
hexbe6dc0

12479936 has 56 divisors (see below), whose sum is σ = 28712160. Its totient is φ = 5271552.

The previous prime is 12479927. The next prime is 12479939. The reversal of 12479936 is 63997421.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 12479893 and 12479902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12479939) 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 7 ways as a sum of consecutive naturals, for example, 39716 + ... + 40028.

Almost surely, 212479936 is an apocalyptic number.

12479936 is a gapful number since it is divisible by the number (16) 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 12479936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356080).

12479936 is an abundant number, since it is smaller than the sum of its proper divisors (16232224).

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

12479936 is an equidigital number, since it uses as much as digits as its factorization.

12479936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 411 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 12479936 is about 3532.6952883033. The cubic root of 12479936 is about 231.9552034000.

The spelling of 12479936 in words is "twelve million, four hundred seventy-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 89 112 178 224 313 356 448 623 626 712 1246 1252 1424 2191 2492 2504 2848 4382 4984 5008 5696 8764 9968 10016 17528 19936 20032 27857 35056 39872 55714 70112 111428 140224 194999 222856 389998 445712 779996 891424 1559992 1782848 3119984 6239968 12479936