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14241472 = 26783383
BaseRepresentation
bin110110010100…
…111011000000
3222210112121221
4312110323000
512121211342
61225124424
7232023220
oct66247300
928715557
1014241472
118047913
124929714
132c4830b
141c6a080
1513b4a67
hexd94ec0

14241472 has 56 divisors (see below), whose sum is σ = 32772096. Its totient is φ = 6014208.

The previous prime is 14241467. The next prime is 14241481. The reversal of 14241472 is 27414241.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is an unprimeable number.

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, 36993 + ... + 37375.

It is an arithmetic number, because the mean of its divisors is an integer number (585216).

Almost surely, 214241472 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 14241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386048).

14241472 is an abundant number, since it is smaller than the sum of its proper divisors (18530624).

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

14241472 is an equidigital number, since it uses as much as digits as its factorization.

14241472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its digits is 1792, while the sum is 25.

The square root of 14241472 is about 3773.7874873925. The cubic root of 14241472 is about 242.3920063298.

It can be divided in two parts, 1424 and 1472, that multiplied together give a triangular number (2096128 = T2047).

The spelling of 14241472 in words is "fourteen million, two hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 383 448 581 664 766 1162 1328 1532 2324 2656 2681 3064 4648 5312 5362 6128 9296 10724 12256 18592 21448 24512 31789 37184 42896 63578 85792 127156 171584 222523 254312 445046 508624 890092 1017248 1780184 2034496 3560368 7120736 14241472