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14469444 = 22321161599
BaseRepresentation
bin110111001100…
…100101000100
31000020010100100
4313030211010
512201010234
61234044100
7233662653
oct67144504
930203310
1014469444
118193120
124a19630
132cc8002
141cc919a
15140c399
hexdcc944

14469444 has 72 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 4305600.

The previous prime is 14469437. The next prime is 14469449. The reversal of 14469444 is 44496441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14469399 and 14469408.

It is not an unprimeable number, because it can be changed into a prime (14469449) 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 23 ways as a sum of consecutive naturals, for example, 23857 + ... + 24455.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 214469444 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 14469444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

14469444 is an abundant number, since it is smaller than the sum of its proper divisors (26152956).

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

14469444 is a wasteful number, since it uses less digits than its factorization.

14469444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 14469444 is about 3803.8722376021. The cubic root of 14469444 is about 243.6785384201.

The spelling of 14469444 in words is "fourteen million, four hundred sixty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 599 671 732 1098 1198 1342 1797 2013 2196 2396 2684 3594 4026 5391 6039 6589 7188 8052 10782 12078 13178 19767 21564 24156 26356 36539 39534 59301 73078 79068 109617 118602 146156 219234 237204 328851 401929 438468 657702 803858 1205787 1315404 1607716 2411574 3617361 4823148 7234722 14469444