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14078848 = 27719827
BaseRepresentation
bin110101101101…
…001110000000
3222111021112211
4311231032000
512101010343
61221431504
7230445130
oct65551600
928437484
1014078848
117a46713
12486b594
132bbc2a4
141c26ac0
15138179d
hexd6d380

14078848 has 64 divisors (see below), whose sum is σ = 33782400. Its totient is φ = 5709312.

The previous prime is 14078843. The next prime is 14078851. The reversal of 14078848 is 84887041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×140788482 = 396427922014208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14078848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14078843) 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 7 ways as a sum of consecutive naturals, for example, 16611 + ... + 17437.

It is an arithmetic number, because the mean of its divisors is an integer number (527850).

Almost surely, 214078848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14078848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891200).

14078848 is an abundant number, since it is smaller than the sum of its proper divisors (19703552).

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

14078848 is an equidigital number, since it uses as much as digits as its factorization.

14078848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 14078848 is about 3752.1791002030. The cubic root of 14078848 is about 241.4658436806.

The spelling of 14078848 in words is "fourteen million, seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 827 896 1064 1216 1654 2128 2432 3308 4256 5789 6616 8512 11578 13232 15713 17024 23156 26464 31426 46312 52928 62852 92624 105856 109991 125704 185248 219982 251408 370496 439964 502816 740992 879928 1005632 1759856 2011264 3519712 7039424 14078848