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14477056 = 28115397
BaseRepresentation
bin110111001110…
…011100000000
31000020111210021
4313032130000
512201231211
61234143224
7234024106
oct67163400
930214707
1014477056
118198910
124a21b14
132ccb609
141ccbc76
15140e771
hexdce700

14477056 has 72 divisors (see below), whose sum is σ = 32450544. Its totient is φ = 6389760.

The previous prime is 14477041. The next prime is 14477077. The reversal of 14477056 is 65077441.

It is a happy number.

It is a congruent number.

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, 149200 + ... + 149296.

It is an arithmetic number, because the mean of its divisors is an integer number (450702).

Almost surely, 214477056 is an apocalyptic number.

14477056 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 14477056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16225272).

14477056 is an abundant number, since it is smaller than the sum of its proper divisors (17973488).

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

14477056 is an equidigital number, since it uses as much as digits as its factorization.

14477056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 14477056 is about 3804.8726654121. The cubic root of 14477056 is about 243.7212619198.

The spelling of 14477056 in words is "fourteen million, four hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 97 106 128 176 194 212 256 352 388 424 583 704 776 848 1067 1166 1408 1552 1696 2134 2332 2816 3104 3392 4268 4664 5141 6208 6784 8536 9328 10282 12416 13568 17072 18656 20564 24832 34144 37312 41128 56551 68288 74624 82256 113102 136576 149248 164512 226204 273152 329024 452408 658048 904816 1316096 1809632 3619264 7238528 14477056