Search a number
-
+
5446440000 = 263454412
BaseRepresentation
bin1010001001010001…
…00001010001000000
3112001120102211010000
411010220201101000
542123242040000
62300240040000
7251652655551
oct50450412100
915046384100
105446440000
112345411a91
121080003000
1368a4b0081
143994b4328
1521d240000
hex144a21440

5446440000 has 525 divisors, whose sum is σ = 20678803321. Its totient is φ = 1416960000.

The previous prime is 5446439969. The next prime is 5446440001. The reversal of 5446440000 is 446445.

The square root of 5446440000 is 73800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 5425206336 + 21233664 = 73656^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5446440001) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 132839980 + ... + 132840020.

Almost surely, 25446440000 is an apocalyptic number.

5446440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5446440000 is the 73800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5446440000

5446440000 is an abundant number, since it is smaller than the sum of its proper divisors (15232363321).

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

5446440000 is an frugal number, since it uses more digits than its factorization.

5446440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The cubic root of 5446440000 is about 1759.4256045711.

Adding to 5446440000 its reverse (446445), we get a palindrome (5446886445).

The spelling of 5446440000 in words is "five billion, four hundred forty-six million, four hundred forty thousand".