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14248728 = 23321321171
BaseRepresentation
bin110110010110…
…101100011000
3222210220120200
4312112230120
512121424403
61225222200
7232053324
oct66265430
928726520
1014248728
11805230a
124931960
132c4b700
141c6c984
1513b6ca3
hexd96b18

14248728 has 72 divisors (see below), whose sum is σ = 41822820. Its totient is φ = 4380480.

The previous prime is 14248691. The next prime is 14248757. The reversal of 14248728 is 82784241.

14248728 is digitally balanced in base 2, because in such base 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14248692 and 14248701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11583 + ... + 12753.

Almost surely, 214248728 is an apocalyptic number.

14248728 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 14248728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20911410).

14248728 is an abundant number, since it is smaller than the sum of its proper divisors (27574092).

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

14248728 is a wasteful number, since it uses less digits than its factorization.

14248728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1189 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 14248728 is about 3774.7487333596. The cubic root of 14248728 is about 242.4331654127.

The spelling of 14248728 in words is "fourteen million, two hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1171 1352 1521 2028 2342 3042 3513 4056 4684 6084 7026 9368 10539 12168 14052 15223 21078 28104 30446 42156 45669 60892 84312 91338 121784 137007 182676 197899 274014 365352 395798 548028 593697 791596 1096056 1187394 1583192 1781091 2374788 3562182 4749576 7124364 14248728