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12252744 = 23327223151
BaseRepresentation
bin101110101111…
…011001001000
3212001111121100
4232233121020
511114041434
61114341400
7206101200
oct56573110
925044540
1012252744
116a09739
12412a860
13270005a
1418ad400
151120699
hexbaf648

12252744 has 144 divisors (see below), whose sum is σ = 40547520. Its totient is φ = 3326400.

The previous prime is 12252743. The next prime is 12252763. The reversal of 12252744 is 44725221.

It is not an unprimeable number, because it can be changed into a prime (12252743) 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 35 ways as a sum of consecutive naturals, for example, 81069 + ... + 81219.

It is an arithmetic number, because the mean of its divisors is an integer number (281580).

Almost surely, 212252744 is an apocalyptic number.

12252744 is a gapful number since it is divisible by the number (14) 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 12252744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273760).

12252744 is an abundant number, since it is smaller than the sum of its proper divisors (28294776).

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

12252744 is a wasteful number, since it uses less digits than its factorization.

12252744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 12252744 is about 3500.3919780505. The cubic root of 12252744 is about 230.5390256134.

Adding to 12252744 its reverse (44725221), we get a palindrome (56977965).

It can be divided in two parts, 12252 and 744, that added together give a square (12996 = 1142).

The spelling of 12252744 in words is "twelve million, two hundred fifty-two thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 151 161 168 184 196 207 252 276 294 302 322 392 414 441 453 483 504 552 588 604 644 828 882 906 966 1057 1127 1176 1208 1288 1359 1449 1656 1764 1812 1932 2114 2254 2718 2898 3171 3381 3473 3528 3624 3864 4228 4508 5436 5796 6342 6762 6946 7399 8456 9016 9513 10143 10419 10872 11592 12684 13524 13892 14798 19026 20286 20838 22197 24311 25368 27048 27784 29596 31257 38052 40572 41676 44394 48622 59192 62514 66591 72933 76104 81144 83352 88788 97244 125028 133182 145866 170177 177576 194488 218799 250056 266364 291732 340354 437598 510531 532728 583464 680708 875196 1021062 1361416 1531593 1750392 2042124 3063186 4084248 6126372 12252744