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4054421100 = 2235248727751
BaseRepresentation
bin1111000110101001…
…1000111001101100
3101110120002221011110
43301222120321230
531300412433400
61510152152020
7202321003452
oct36152307154
911416087143
104054421100
1117a0684644
12951998610
134c7c97252
142a667c9d2
1518ae24e50
hexf1a98e6c

4054421100 has 72 divisors (see below), whose sum is σ = 11755303168. Its totient is φ = 1078920000.

The previous prime is 4054421093. The next prime is 4054421141. The reversal of 4054421100 is 11244504.

It is a happy number.

It is a super-2 number, since 2×40544211002 = 32876660912250420000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132225 + ... + 159975.

Almost surely, 24054421100 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 4054421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877651584).

4054421100 is an abundant number, since it is smaller than the sum of its proper divisors (7700882068).

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

4054421100 is a wasteful number, since it uses less digits than its factorization.

4054421100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28255 (or 28248 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4054421100 is about 63674.3362745149. The cubic root of 4054421100 is about 1594.5676576382.

Adding to 4054421100 its reverse (11244504), we get a palindrome (4065665604).

The spelling of 4054421100 in words is "four billion, fifty-four million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 487 974 1461 1948 2435 2922 4870 5844 7305 9740 12175 14610 24350 27751 29220 36525 48700 55502 73050 83253 111004 138755 146100 166506 277510 333012 416265 555020 693775 832530 1387550 1665060 2081325 2775100 4162650 8325300 13514737 27029474 40544211 54058948 67573685 81088422 135147370 162176844 202721055 270294740 337868425 405442110 675736850 810884220 1013605275 1351473700 2027210550 4054421100