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108848448 = 26362333
BaseRepresentation
bin1100111110011…
…10010101000000
321120211002000000
412133032111000
5210331122243
614445000000
72461124262
oct637162500
9246732000
10108848448
11564954a5
1230553000
1319721187
1410655b32
1598515d3
hex67ce540

108848448 has 98 divisors (see below), whose sum is σ = 323984874. Its totient is φ = 36267264.

The previous prime is 108848447. The next prime is 108848459. The reversal of 108848448 is 844848801.

It can be written as a sum of positive squares in only one way, i.e., 86266944 + 22581504 = 9288^2 + 4752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108848447) 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 13 ways as a sum of consecutive naturals, for example, 45490 + ... + 47822.

Almost surely, 2108848448 is an apocalyptic number.

108848448 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 108848448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161992437).

108848448 is an abundant number, since it is smaller than the sum of its proper divisors (215136426).

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

108848448 is an frugal number, since it uses more digits than its factorization.

108848448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 108848448 is about 10433.0459598336. The cubic root of 108848448 is about 477.4641263950.

The spelling of 108848448 in words is "one hundred eight million, eight hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2333 2592 2916 3888 4666 5184 5832 6999 7776 9332 11664 13998 15552 18664 20997 23328 27996 37328 41994 46656 55992 62991 74656 83988 111984 125982 149312 167976 188973 223968 251964 335952 377946 447936 503928 566919 671904 755892 1007856 1133838 1343808 1511784 1700757 2015712 2267676 3023568 3401514 4031424 4535352 6047136 6803028 9070704 12094272 13606056 18141408 27212112 36282816 54424224 108848448