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4194144 = 253214563
BaseRepresentation
bin1111111111111101100000
321220002021200
433333331200
52033203034
6225521200
750435553
oct17777540
97802250
104194144
112405139
1214a3200
13b3b056
147b269a
1557ca99
hex3fff60

4194144 has 36 divisors (see below), whose sum is σ = 11927916. Its totient is φ = 1397952.

The previous prime is 4194143. The next prime is 4194167. The reversal of 4194144 is 4414914.

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

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6994 + ... + 7569.

It is an arithmetic number, because the mean of its divisors is an integer number (331331).

Almost surely, 24194144 is an apocalyptic number.

It is an amenable number.

4194144 is an abundant number, since it is smaller than the sum of its proper divisors (7733772).

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

4194144 is a wasteful number, since it uses less digits than its factorization.

4194144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14579 (or 14568 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4194144 is about 2047.9609371275. The cubic root of 4194144 is about 161.2678437077.

The spelling of 4194144 in words is "four million, one hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14563 29126 43689 58252 87378 116504 131067 174756 233008 262134 349512 466016 524268 699024 1048536 1398048 2097072 4194144