Search a number
-
+
14494112 = 251931769
BaseRepresentation
bin110111010010…
…100110100000
31000021101011222
4313102212200
512202302422
61234354212
7234124613
oct67224640
930241158
1014494112
1181aa706
124a2b968
1330062c9
141cd417a
151414842
hexdd29a0

14494112 has 48 divisors (see below), whose sum is σ = 31046400. Its totient is φ = 6635520.

The previous prime is 14494111. The next prime is 14494127. The reversal of 14494112 is 21149441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14494111) 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, 18464 + ... + 19232.

It is an arithmetic number, because the mean of its divisors is an integer number (646800).

Almost surely, 214494112 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 14494112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15523200).

14494112 is an abundant number, since it is smaller than the sum of its proper divisors (16552288).

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

14494112 is a wasteful number, since it uses less digits than its factorization.

14494112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 14494112 is about 3807.1133421531. The cubic root of 14494112 is about 243.8169369530.

The spelling of 14494112 in words is "fourteen million, four hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 769 992 1178 1538 2356 3076 4712 6152 9424 12304 14611 18848 23839 24608 29222 47678 58444 95356 116888 190712 233776 381424 452941 467552 762848 905882 1811764 3623528 7247056 14494112