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12749238 = 23537709
BaseRepresentation
bin110000101000…
…100110110110
3212222201200000
4300220212312
511230433423
61133132130
7213236535
oct60504666
925881600
1012749238
117218767
12432a046
132845038
14199c31c
1511bc843
hexc289b6

12749238 has 48 divisors (see below), whose sum is σ = 29462160. Its totient is φ = 4129056.

The previous prime is 12749197. The next prime is 12749239. The reversal of 12749238 is 83294721.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12749239) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17628 + ... + 18336.

It is an arithmetic number, because the mean of its divisors is an integer number (613795).

Almost surely, 212749238 is an apocalyptic number.

12749238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12749238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731080).

12749238 is an abundant number, since it is smaller than the sum of its proper divisors (16712922).

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

12749238 is an equidigital number, since it uses as much as digits as its factorization.

12749238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 751 counting only the distinct ones).

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

The square root of 12749238 is about 3570.6075113347. The cubic root of 12749238 is about 233.6117823192.

The spelling of 12749238 in words is "twelve million, seven hundred forty-nine thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 709 999 1418 1998 2127 2997 4254 5994 6381 8991 12762 17982 19143 26233 38286 52466 57429 78699 114858 157398 172287 236097 344574 472194 708291 1416582 2124873 4249746 6374619 12749238