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4505241440 = 255717872251
BaseRepresentation
bin1000011001000100…
…01000011101100000
3102121222101222102002
410030202020131200
533211320211230
62023014543132
7216433630460
oct41442103540
912558358362
104505241440
111a02100637
12a58967aa8
1356a4c044b
1430a4b1ba0
151b57c6545
hex10c888760

4505241440 has 96 divisors (see below), whose sum is σ = 12176365824. Its totient is φ = 1543104000.

The previous prime is 4505241431. The next prime is 4505241443. The reversal of 4505241440 is 441425054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4505241443) 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 15 ways as a sum of consecutive naturals, for example, 2000315 + ... + 2002565.

It is an arithmetic number, because the mean of its divisors is an integer number (126837144).

Almost surely, 24505241440 is an apocalyptic number.

4505241440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4505241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6088182912).

4505241440 is an abundant number, since it is smaller than the sum of its proper divisors (7671124384).

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

4505241440 is a wasteful number, since it uses less digits than its factorization.

4505241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 4505241440 is about 67121.0953426715. The cubic root of 4505241440 is about 1651.6043703153.

Adding to 4505241440 its reverse (441425054), we get a palindrome (4946666494).

The spelling of 4505241440 in words is "four billion, five hundred five million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1787 2251 3574 4502 7148 8935 9004 11255 12509 14296 15757 17870 18008 22510 25018 28592 31514 35740 36016 45020 50036 57184 62545 63028 71480 72032 78785 90040 100072 125090 126056 142960 157570 180080 200144 250180 252112 285920 315140 360160 400288 500360 504224 630280 1000720 1260560 2001440 2521120 4022537 8045074 16090148 20112685 28157759 32180296 40225370 56315518 64360592 80450740 112631036 128721184 140788795 160901480 225262072 281577590 321802960 450524144 563155180 643605920 901048288 1126310360 2252620720 4505241440