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14486368 = 251397359
BaseRepresentation
bin110111010000…
…101101100000
31000020222120011
4313100231200
512202030433
61234254304
7234063211
oct67205540
930228504
1014486368
1181a4906
124a27394
133002920
141cd1408
1514123cd
hexdd0b60

14486368 has 48 divisors (see below), whose sum is σ = 31116960. Its totient is φ = 6598656.

The previous prime is 14486359. The next prime is 14486369. The reversal of 14486368 is 86368441.

14486368 = T27 + T28 + ... + T442.

It is a self number, because there is not a number n which added to its sum of digits gives 14486368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14486369) by changing a digit.

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, 40173 + ... + 40531.

It is an arithmetic number, because the mean of its divisors is an integer number (648270).

Almost surely, 214486368 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 14486368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15558480).

14486368 is an abundant number, since it is smaller than the sum of its proper divisors (16630592).

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

14486368 is a wasteful number, since it uses less digits than its factorization.

14486368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 14486368 is about 3806.0961627368. The cubic root of 14486368 is about 243.7735065649.

The spelling of 14486368 in words is "fourteen million, four hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 97 104 194 208 359 388 416 718 776 1261 1436 1552 2522 2872 3104 4667 5044 5744 9334 10088 11488 18668 20176 34823 37336 40352 69646 74672 139292 149344 278584 452699 557168 905398 1114336 1810796 3621592 7243184 14486368