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12468852 = 22321123372
BaseRepresentation
bin101111100100…
…001001110100
3212110111001100
4233210021310
511143000402
61123130100
7210661224
oct57441164
925414040
1012468852
117047040
124213930
132777526
141928084
15116471c
hexbe4274

12468852 has 108 divisors (see below), whose sum is σ = 36874656. Its totient is φ = 3516480.

The previous prime is 12468847. The next prime is 12468877. The reversal of 12468852 is 25886421.

12468852 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 336978 + ... + 337014.

It is an arithmetic number, because the mean of its divisors is an integer number (341432).

Almost surely, 212468852 is an apocalyptic number.

12468852 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 12468852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437328).

12468852 is an abundant number, since it is smaller than the sum of its proper divisors (24405804).

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

12468852 is a wasteful number, since it uses less digits than its factorization.

12468852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 12468852 is about 3531.1261659703. The cubic root of 12468852 is about 231.8865130641.

Subtracting 12468852 from its reverse (25886421), we obtain a square (13417569 = 36632).

It can be divided in two parts, 12 and 468852, that added together give a palindrome (468864).

The spelling of 12468852 in words is "twelve million, four hundred sixty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 37 44 46 66 69 74 92 99 111 132 138 148 198 207 222 253 276 333 396 407 414 444 506 666 759 814 828 851 1012 1221 1332 1369 1518 1628 1702 2277 2442 2553 2738 3036 3404 3663 4107 4554 4884 5106 5476 7326 7659 8214 9108 9361 10212 12321 14652 15059 15318 16428 18722 24642 28083 30118 30636 31487 37444 45177 49284 56166 60236 62974 84249 90354 94461 112332 125948 135531 168498 180708 188922 271062 283383 336996 346357 377844 542124 566766 692714 1039071 1133532 1385428 2078142 3117213 4156284 6234426 12468852