Search a number
-
+
4054144 = 27191667
BaseRepresentation
bin1111011101110010000000
321121222020111
433131302000
52014213034
6222521104
746313443
oct17356200
97558214
104054144
112319a36
121436194
13abc403
1477765a
15551364
hex3ddc80

4054144 has 32 divisors (see below), whose sum is σ = 8506800. Its totient is φ = 1919232.

The previous prime is 4054139. The next prime is 4054147. The reversal of 4054144 is 4414504.

4054144 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (4054147) 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 3 ways as a sum of consecutive naturals, for example, 1599 + ... + 3265.

Almost surely, 24054144 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 4054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253400).

4054144 is an abundant number, since it is smaller than the sum of its proper divisors (4452656).

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

4054144 is a wasteful number, since it uses less digits than its factorization.

4054144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4054144 is about 2013.4905015917. The cubic root of 4054144 is about 159.4531329824.

Adding to 4054144 its reverse (4414504), we get a palindrome (8468648).

The spelling of 4054144 in words is "four million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 1667 2432 3334 6668 13336 26672 31673 53344 63346 106688 126692 213376 253384 506768 1013536 2027072 4054144