Search a number
-
+
5441126400 = 216345241
BaseRepresentation
bin1010001000101000…
…10000000000000000
3112001012102212020000
411010110100000000
542120412021100
62255530120000
7251556545163
oct50424200000
915035385200
105441126400
112342412886
12107a280000
1368936c628
143988cdada
1521ca40900
hex144510000

5441126400 has 510 divisors, whose sum is σ = 20649187482. Its totient is φ = 1415577600.

The previous prime is 5441126377. The next prime is 5441126401. The reversal of 5441126400 is 46211445.

5441126400 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 12 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5308416 + 5435817984 = 2304^2 + 73728^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5441126401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 132710380 + ... + 132710420.

Almost surely, 25441126400 is an apocalyptic number.

5441126400 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 5441126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324593741).

5441126400 is an abundant number, since it is smaller than the sum of its proper divisors (15208061082).

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

5441126400 is an frugal number, since it uses more digits than its factorization.

5441126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5441126400 is about 73763.9912152264. The cubic root of 5441126400 is about 1758.8532474700.

Adding to 5441126400 its reverse (46211445), we get a palindrome (5487337845).

It can be divided in two parts, 5441 and 126400, that added together give a triangular number (131841 = T513).

The spelling of 5441126400 in words is "five billion, four hundred forty-one million, one hundred twenty-six thousand, four hundred".