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14542416 = 243472229
BaseRepresentation
bin110111011110…
…011001010000
31000100211110000
4313132121100
512210324131
61235410000
7234415500
oct67363120
930324400
1014542416
118232a29
124a53900
1330222a5
141d07a00
151423ce6
hexdde650

14542416 has 150 divisors (see below), whose sum is σ = 49175610. Its totient is φ = 4136832.

The previous prime is 14542393. The next prime is 14542421. The reversal of 14542416 is 61424541.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 254016 = 3780^2 + 504^2 .

It is a super-2 number, since 2×145424162 = 422963726234112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 14542416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63390 + ... + 63618.

Almost surely, 214542416 is an apocalyptic number.

14542416 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 14542416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24587805).

14542416 is an abundant number, since it is smaller than the sum of its proper divisors (34633194).

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

14542416 is a wasteful number, since it uses less digits than its factorization.

14542416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 14542416 is about 3813.4519795062. The cubic root of 14542416 is about 244.0874899011.

Adding to 14542416 its reverse (61424541), we get a palindrome (75966957).

The spelling of 14542416 in words is "fourteen million, five hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 229 252 294 324 336 378 392 432 441 458 504 567 588 648 687 756 784 882 916 1008 1134 1176 1296 1323 1374 1512 1603 1764 1832 2061 2268 2352 2646 2748 3024 3206 3528 3664 3969 4122 4536 4809 5292 5496 6183 6412 7056 7938 8244 9072 9618 10584 10992 11221 12366 12824 14427 15876 16488 18549 19236 21168 22442 24732 25648 28854 31752 32976 33663 37098 38472 43281 44884 49464 57708 63504 67326 74196 76944 86562 89768 98928 100989 115416 129843 134652 148392 173124 179536 201978 230832 259686 269304 296784 302967 346248 403956 519372 538608 605934 692496 807912 908901 1038744 1211868 1615824 1817802 2077488 2423736 3635604 4847472 7271208 14542416