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14521248 = 253375
BaseRepresentation
bin110111011001…
…001110100000
31000022202102000
4313121032200
512204134443
61235124000
7234300000
oct67311640
930282360
1014521248
118219035
124a43600
133015771
141d00000
15141c8d3
hexdd93a0

14521248 has 144 divisors (see below), whose sum is σ = 49412160. Its totient is φ = 4148928.

The previous prime is 14521207. The next prime is 14521253. The reversal of 14521248 is 84212541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14521248 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 tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2074461 + ... + 2074467.

It is an arithmetic number, because the mean of its divisors is an integer number (343140).

Almost surely, 214521248 is an apocalyptic number.

14521248 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 14521248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24706080).

14521248 is an abundant number, since it is smaller than the sum of its proper divisors (34890912).

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

14521248 is an frugal number, since it uses more digits than its factorization.

14521248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 12 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 14521248 is about 3810.6755306638. The cubic root of 14521248 is about 243.9690008097.

14521248 divided by its sum of digits (27) gives a 5-th power (537824 = 145).

Adding to 14521248 its reverse (84212541), we get a palindrome (98733789).

The spelling of 14521248 in words is "fourteen million, five hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 343 378 392 432 441 504 588 672 686 756 784 864 882 1008 1029 1176 1323 1372 1512 1568 1764 2016 2058 2352 2401 2646 2744 3024 3087 3528 4116 4704 4802 5292 5488 6048 6174 7056 7203 8232 9261 9604 10584 10976 12348 14112 14406 16464 16807 18522 19208 21168 21609 24696 28812 32928 33614 37044 38416 42336 43218 49392 50421 57624 64827 67228 74088 76832 86436 98784 100842 115248 129654 134456 148176 151263 172872 201684 230496 259308 268912 296352 302526 345744 403368 453789 518616 537824 605052 691488 806736 907578 1037232 1210104 1613472 1815156 2074464 2420208 3630312 4840416 7260624 14521248