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14950944 = 253251913
BaseRepresentation
bin111001000010…
…001000100000
31001010120211200
4321002020200
512311412234
61252241200
7241036521
oct71021040
931116750
1014950944
118491958
125010200
133136218
141db2848
1514a4d99
hexe42220

14950944 has 36 divisors (see below), whose sum is σ = 42517566. Its totient is φ = 4983552.

The previous prime is 14950933. The next prime is 14950961. The reversal of 14950944 is 44905941.

It is a happy number.

14950944 is a `hidden beast` number, since 149 + 509 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13046544 + 1904400 = 3612^2 + 1380^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×149509442 = 447061452982272, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14950899 and 14950908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25669 + ... + 26244.

Almost surely, 214950944 is an apocalyptic number.

It is an amenable number.

14950944 is an abundant number, since it is smaller than the sum of its proper divisors (27566622).

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

14950944 is a wasteful number, since it uses less digits than its factorization.

14950944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51929 (or 51918 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 14950944 is about 3866.6450574109. The cubic root of 14950944 is about 246.3520638181.

The spelling of 14950944 in words is "fourteen million, nine hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 51913 103826 155739 207652 311478 415304 467217 622956 830608 934434 1245912 1661216 1868868 2491824 3737736 4983648 7475472 14950944