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16897248 = 25354153
BaseRepresentation
bin100000001110…
…1010011100000
31011210110200000
41000131103200
513311202443
61402100000
7263424054
oct100352340
934713600
1016897248
1195a1175
1257aa600
133668094
14235bc64
15173b8d3
hex101d4e0

16897248 has 144 divisors (see below), whose sum is σ = 52009776. Its totient is φ = 5391360.

The previous prime is 16897241. The next prime is 16897261. The reversal of 16897248 is 84279861.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16897241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318790 + ... + 318842.

It is an arithmetic number, because the mean of its divisors is an integer number (361179).

Almost surely, 216897248 is an apocalyptic number.

16897248 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 16897248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26004888).

16897248 is an abundant number, since it is smaller than the sum of its proper divisors (35112528).

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

16897248 is an equidigital number, since it uses as much as digits as its factorization.

16897248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 16897248 is about 4110.6262296638. The cubic root of 16897248 is about 256.6090641148.

The spelling of 16897248 in words is "sixteen million, eight hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 53 54 72 81 82 96 106 108 123 144 159 162 164 212 216 243 246 288 318 324 328 369 424 432 477 486 492 636 648 656 738 848 864 954 972 984 1107 1272 1296 1312 1431 1476 1696 1908 1944 1968 2173 2214 2544 2592 2862 2952 3321 3816 3888 3936 4293 4346 4428 5088 5724 5904 6519 6642 7632 7776 8586 8692 8856 9963 11448 11808 12879 13038 13284 15264 17172 17384 17712 19557 19926 22896 25758 26076 26568 34344 34768 35424 39114 39852 45792 51516 52152 53136 58671 68688 69536 78228 79704 103032 104304 106272 117342 137376 156456 159408 176013 206064 208608 234684 312912 318816 352026 412128 469368 528039 625824 704052 938736 1056078 1408104 1877472 2112156 2816208 4224312 5632416 8448624 16897248