Search a number
-
+
5448360000 = 2635445403
BaseRepresentation
bin1010001001011111…
…10110000001000000
3112001201001100212010
411010233312001000
542124240010000
62300345132520
7252005203326
oct50457660100
915051040763
105448360000
112346503566
12108078a140
1368aa02c75
14399853d16
1521d4bdd50
hex144bf6040

5448360000 has 140 divisors (see below), whose sum is σ = 18013946192. Its totient is φ = 1452864000.

The previous prime is 5448359999. The next prime is 5448360017. The reversal of 5448360000 is 638445.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5448360000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97299 + ... + 142701.

Almost surely, 25448360000 is an apocalyptic number.

5448360000 is a gapful number since it is divisible by the number (50) 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 5448360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006973096).

5448360000 is an abundant number, since it is smaller than the sum of its proper divisors (12565586192).

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

5448360000 is an equidigital number, since it uses as much as digits as its factorization.

5448360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45438 (or 45413 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5448360000 is about 73813.0069838643. The cubic root of 5448360000 is about 1759.6323267778.

Adding to 5448360000 its reverse (638445), we get a palindrome (5448998445).

The spelling of 5448360000 in words is "five billion, four hundred forty-eight million, three hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 45403 60000 90806 120000 136209 181612 227015 272418 363224 454030 544836 681045 726448 908060 1089672 1135075 1362090 1452896 1816120 2179344 2270150 2724180 2905792 3405225 3632240 4358688 4540300 5448360 5675375 6810450 7264480 8717376 9080600 10896720 11350750 13620900 14528960 17026125 18161200 21793440 22701500 27241800 28376875 34052250 36322400 43586880 45403000 54483600 56753750 68104500 72644800 85130625 90806000 108967200 113507500 136209000 170261250 181612000 217934400 227015000 272418000 340522500 363224000 454030000 544836000 681045000 908060000 1089672000 1362090000 1816120000 2724180000 5448360000