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14982384 = 2432341331
BaseRepresentation
bin111001001001…
…110011110000
31001012011222010
4321021303300
512313414014
61253042520
7241230264
oct71116360
931164863
1014982384
11850353a
125026440
133147621
141dc00a4
1514ae359
hexe49cf0

14982384 has 80 divisors (see below), whose sum is σ = 41497344. Its totient is φ = 4646400.

The previous prime is 14982367. The next prime is 14982391. The reversal of 14982384 is 48328941.

14982384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45099 + ... + 45429.

Almost surely, 214982384 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 14982384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748672).

14982384 is an abundant number, since it is smaller than the sum of its proper divisors (26514960).

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

14982384 is a wasteful number, since it uses less digits than its factorization.

14982384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 14982384 is about 3870.7084622844. The cubic root of 14982384 is about 246.5246256326.

The spelling of 14982384 in words is "fourteen million, nine hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 331 368 492 552 656 662 943 984 993 1104 1324 1886 1968 1986 2648 2829 3772 3972 5296 5658 7544 7613 7944 11316 13571 15088 15226 15888 22632 22839 27142 30452 40713 45264 45678 54284 60904 81426 91356 108568 121808 162852 182712 217136 312133 325704 365424 624266 651408 936399 1248532 1872798 2497064 3745596 4994128 7491192 14982384