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4054024 = 2313172293
BaseRepresentation
bin1111011101110000001000
321121222002001
433131300020
52014212044
6222520344
746313212
oct17356010
97558061
104054024
112319937
1214360b4
13abc340
147775b2
155512d4
hex3ddc08

4054024 has 32 divisors (see below), whose sum is σ = 8671320. Its totient is φ = 1760256.

The previous prime is 4054019. The next prime is 4054031. The reversal of 4054024 is 4204504.

4054024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2951524 + 1102500 = 1718^2 + 1050^2 .

It is a super-2 number, since 2×40540242 = 32870221185152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4053992 and 4054010.

It is an unprimeable number.

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, 622 + ... + 2914.

Almost surely, 24054024 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 4054024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335660).

4054024 is an abundant number, since it is smaller than the sum of its proper divisors (4617296).

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

4054024 is a wasteful number, since it uses less digits than its factorization.

4054024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 4054024 is about 2013.4607023729. The cubic root of 4054024 is about 159.4515597309.

Adding to 4054024 its reverse (4204504), we get a palindrome (8258528).

The spelling of 4054024 in words is "four million, fifty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 2293 4586 9172 18344 29809 38981 59618 77962 119236 155924 238472 311848 506753 1013506 2027012 4054024