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12478272 = 263173823
BaseRepresentation
bin101111100110…
…011101000000
3212110221222020
4233212131000
511143301042
61123241440
7211030542
oct57463500
925427866
1012478272
117053124
124219280
13277b8c1
14192b692
1511673ec
hexbe6740

12478272 has 56 divisors (see below), whose sum is σ = 34966656. Its totient is φ = 3913728.

The previous prime is 12478261. The next prime is 12478273. The reversal of 12478272 is 27287421.

12478272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12478273) 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, 1353 + ... + 5175.

Almost surely, 212478272 is an apocalyptic number.

12478272 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 12478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17483328).

12478272 is an abundant number, since it is smaller than the sum of its proper divisors (22488384).

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

12478272 is a wasteful number, since it uses less digits than its factorization.

12478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3845 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 12478272 is about 3532.4597662252. The cubic root of 12478272 is about 231.9448937687.

The spelling of 12478272 in words is "twelve million, four hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 3823 7646 11469 15292 22938 30584 45876 61168 64991 91752 122336 129982 183504 194973 244672 259964 367008 389946 519928 734016 779892 1039856 1559784 2079712 3119568 4159424 6239136 12478272