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13318848 = 2632191217
BaseRepresentation
bin110010110011…
…101011000000
3221001200000200
4302303223000
511402200343
61153245200
7221131314
oct62635300
927050020
1013318848
117577714
124563800
1329b439a
141aa9b44
1512814d3
hexcb3ac0

13318848 has 84 divisors (see below), whose sum is σ = 40218360. Its totient is φ = 4202496.

The previous prime is 13318843. The next prime is 13318849. The reversal of 13318848 is 84881331.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13318843) 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 11 ways as a sum of consecutive naturals, for example, 10336 + ... + 11552.

It is an arithmetic number, because the mean of its divisors is an integer number (478790).

Almost surely, 213318848 is an apocalyptic number.

13318848 is a gapful number since it is divisible by the number (18) 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 13318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109180).

13318848 is an abundant number, since it is smaller than the sum of its proper divisors (26899512).

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

13318848 is a wasteful number, since it uses less digits than its factorization.

13318848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1241 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 13318848 is about 3649.4996917386. The cubic root of 13318848 is about 237.0403178751.

It can be divided in two parts, 133 and 18848, that added together give a palindrome (18981).

The spelling of 13318848 in words is "thirteen million, three hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1217 1368 1824 2434 2736 3648 3651 4868 5472 7302 9736 10944 10953 14604 19472 21906 23123 29208 38944 43812 46246 58416 69369 77888 87624 92492 116832 138738 175248 184984 208107 233664 277476 350496 369968 416214 554952 700992 739936 832428 1109904 1479872 1664856 2219808 3329712 4439616 6659424 13318848