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4244041024 = 261734911177
BaseRepresentation
bin1111110011110110…
…1110110101000000
3101221202220121210121
43330331232311000
532142433303044
61541044310024
7210112516306
oct37475566500
911852817717
104244041024
111888717923
129a53a2314
135283589a2
142c391c276
1519c8cd984
hexfcf6ed40

4244041024 has 56 divisors (see below), whose sum is σ = 8943517800. Its totient is φ = 1991294976.

The previous prime is 4244041013. The next prime is 4244041027. The reversal of 4244041024 is 4201404424.

It can be written as a sum of positive squares in 4 ways, for example, as 2496801024 + 1747240000 = 49968^2 + 41800^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4244041024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244041027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374124 + ... + 385300.

It is an arithmetic number, because the mean of its divisors is an integer number (159705675).

Almost surely, 24244041024 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 4244041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471758900).

4244041024 is an abundant number, since it is smaller than the sum of its proper divisors (4699476776).

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

4244041024 is a wasteful number, since it uses less digits than its factorization.

4244041024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11555 (or 11545 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 4244041024 is about 65146.3047608995. The cubic root of 4244041024 is about 1619.0484967764.

Adding to 4244041024 its reverse (4201404424), we get a palindrome (8445445448).

The spelling of 4244041024 in words is "four billion, two hundred forty-four million, forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 349 544 698 1088 1396 2792 5584 5933 11168 11177 11866 22336 22354 23732 44708 47464 89416 94928 178832 189856 190009 357664 379712 380018 715328 760036 1520072 3040144 3900773 6080288 7801546 12160576 15603092 31206184 62412368 66313141 124824736 132626282 249649472 265252564 530505128 1061010256 2122020512 4244041024