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14384992 = 251731853
BaseRepresentation
bin110110110111…
…111101100000
31000001211111111
4312313331200
512140304432
61232153104
7233161516
oct66677540
930054444
1014384992
118135726
124998794
132c9873b
141ca64b6
1513e2347
hexdb7f60

14384992 has 48 divisors (see below), whose sum is σ = 30989952. Its totient is φ = 6543360.

The previous prime is 14384987. The next prime is 14384999. The reversal of 14384992 is 29948341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14384999) 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, 16438 + ... + 17290.

It is an arithmetic number, because the mean of its divisors is an integer number (645624).

Almost surely, 214384992 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 14384992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494976).

14384992 is an abundant number, since it is smaller than the sum of its proper divisors (16604960).

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

14384992 is a wasteful number, since it uses less digits than its factorization.

14384992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 903 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 14384992 is about 3792.7551990604. The cubic root of 14384992 is about 243.2035303620.

It can be divided in two parts, 14384 and 992, that added together give a square (15376 = 1242).

The spelling of 14384992 in words is "fourteen million, three hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 853 992 1054 1706 2108 3412 4216 6824 8432 13648 14501 16864 26443 27296 29002 52886 58004 105772 116008 211544 232016 423088 449531 464032 846176 899062 1798124 3596248 7192496 14384992