Search a number
-
+
14644672 = 26797337
BaseRepresentation
bin110111110111…
…010111000000
31000120000201021
4313313113000
512222112142
61241515224
7235322560
oct67672700
930500637
1014644672
1182a2839
124aa2b14
1330599b3
141d32da0
151444267
hexdf75c0

14644672 has 56 divisors (see below), whose sum is σ = 33653984. Its totient is φ = 6193152.

The previous prime is 14644661. The next prime is 14644691. The reversal of 14644672 is 27644641.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43288 + ... + 43624.

It is an arithmetic number, because the mean of its divisors is an integer number (600964).

Almost surely, 214644672 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 14644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826992).

14644672 is an abundant number, since it is smaller than the sum of its proper divisors (19009312).

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

14644672 is an equidigital number, since it uses as much as digits as its factorization.

14644672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 14644672 is about 3826.8357686214. The cubic root of 14644672 is about 244.6582601812.

The spelling of 14644672 in words is "fourteen million, six hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 337 388 448 674 679 776 1348 1358 1552 2359 2696 2716 3104 4718 5392 5432 6208 9436 10784 10864 18872 21568 21728 32689 37744 43456 65378 75488 130756 150976 228823 261512 457646 523024 915292 1046048 1830584 2092096 3661168 7322336 14644672