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14529216 = 263135821
BaseRepresentation
bin110111011011…
…001011000000
31000100011100010
4313123023000
512204413331
61235224520
7234332142
oct67331300
930304303
1014529216
118224019
124a48140
133019290
141d02c92
15141ee46
hexddb2c0

14529216 has 56 divisors (see below), whose sum is σ = 41406064. Its totient is φ = 4469760.

The previous prime is 14529199. The next prime is 14529217. The reversal of 14529216 is 61292541.

14529216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145292162 = 422196235149312, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (14529217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415 + ... + 5406.

It is an arithmetic number, because the mean of its divisors is an integer number (739394).

Almost surely, 214529216 is an apocalyptic number.

14529216 is a gapful number since it is divisible by the number (16) 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 14529216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20703032).

14529216 is an abundant number, since it is smaller than the sum of its proper divisors (26876848).

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

14529216 is a wasteful number, since it uses less digits than its factorization.

14529216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5839 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 14529216 is about 3811.7208712076. The cubic root of 14529216 is about 244.0136156516.

The spelling of 14529216 in words is "fourteen million, five hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 5821 11642 17463 23284 34926 46568 69852 75673 93136 139704 151346 186272 227019 279408 302692 372544 454038 558816 605384 908076 1117632 1210768 1816152 2421536 3632304 4843072 7264608 14529216