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14484192 = 253312157
BaseRepresentation
bin110111010000…
…001011100000
31000020212120120
4313100023200
512201443232
61234240240
7234053652
oct67201340
930225516
1014484192
1181a3208
124a26080
133001938
141cd06d2
15141192c
hexdd02e0

14484192 has 72 divisors (see below), whose sum is σ = 39537288. Its totient is φ = 4642560.

The previous prime is 14484191. The next prime is 14484209. The reversal of 14484192 is 29148441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14484191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92178 + ... + 92334.

It is an arithmetic number, because the mean of its divisors is an integer number (549129).

Almost surely, 214484192 is an apocalyptic number.

14484192 is a gapful number since it is divisible by the number (12) 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 14484192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768644).

14484192 is an abundant number, since it is smaller than the sum of its proper divisors (25053096).

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

14484192 is a wasteful number, since it uses less digits than its factorization.

14484192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 193 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 14484192 is about 3805.8102947993. The cubic root of 14484192 is about 243.7613001993.

The spelling of 14484192 in words is "fourteen million, four hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 157 186 248 314 372 471 496 628 744 942 961 992 1256 1488 1884 1922 2512 2883 2976 3768 3844 4867 5024 5766 7536 7688 9734 11532 14601 15072 15376 19468 23064 29202 30752 38936 46128 58404 77872 92256 116808 150877 155744 233616 301754 452631 467232 603508 905262 1207016 1810524 2414032 3621048 4828064 7242096 14484192