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4024441540 = 225724106573
BaseRepresentation
bin1110111111100000…
…0001101011000100
3101101110200210221101
43233320001223010
531220224112130
61503201425444
7201505121500
oct35770015304
911343623841
104024441540
111785768549
1294393b284
134c19cb672
142a26b7300
151884a21ca
hexefe01ac4

4024441540 has 36 divisors (see below), whose sum is σ = 9831138156. Its totient is φ = 1379808192.

The previous prime is 4024441523. The next prime is 4024441543. The reversal of 4024441540 is 451444204.

4024441540 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 2 ways, for example, as 2506404096 + 1518037444 = 50064^2 + 38962^2 .

It is a super-2 number, since 2×40244415402 = 32392259417755143200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4024441499 and 4024441508.

It is not an unprimeable number, because it can be changed into a prime (4024441543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2052307 + ... + 2054266.

It is an arithmetic number, because the mean of its divisors is an integer number (273087171).

Almost surely, 24024441540 is an apocalyptic number.

It is an amenable number.

4024441540 is an abundant number, since it is smaller than the sum of its proper divisors (5806696616).

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

4024441540 is a wasteful number, since it uses less digits than its factorization.

4024441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106596 (or 4106587 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 4024441540 is about 63438.4862681953. The cubic root of 4024441540 is about 1590.6276993713.

Adding to 4024441540 its reverse (451444204), we get a palindrome (4475885744).

The spelling of 4024441540 in words is "four billion, twenty-four million, four hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 4106573 8213146 16426292 20532865 28746011 41065730 57492022 82131460 114984044 143730055 201222077 287460110 402444154 574920220 804888308 1006110385 2012220770 4024441540