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12438272 = 28711631
BaseRepresentation
bin101111011100…
…101100000000
3212101221002202
4233130230000
511141011042
61122332332
7210503120
oct57345400
925357082
1012438272
117026070
1241ba0a8
132766632
14191ac80
15115a632
hexbdcb00

12438272 has 72 divisors (see below), whose sum is σ = 31003392. Its totient is φ = 4838400.

The previous prime is 12438269. The next prime is 12438281. The reversal of 12438272 is 27283421.

It is a super-2 number, since 2×124382722 = 309421220691968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19397 + ... + 20027.

Almost surely, 212438272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501696).

12438272 is an abundant number, since it is smaller than the sum of its proper divisors (18565120).

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

12438272 is an equidigital number, since it uses as much as digits as its factorization.

12438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 12438272 is about 3526.7934444762. The cubic root of 12438272 is about 231.6967897847.

The spelling of 12438272 in words is "twelve million, four hundred thirty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 631 704 896 1232 1262 1408 1792 2464 2524 2816 4417 4928 5048 6941 8834 9856 10096 13882 17668 19712 20192 27764 35336 40384 48587 55528 70672 80768 97174 111056 141344 161536 194348 222112 282688 388696 444224 565376 777392 888448 1130752 1554784 1776896 3109568 6219136 12438272