Search a number
-
+
5440243200 = 29352737547
BaseRepresentation
bin1010001000100001…
…11000011000000000
3112001010202222200220
411010100320120000
542120200240300
62255455143040
7251546206230
oct50420703000
915033688626
105440243200
11234196a267
121079b14a80
13689120622
1439873dcc0
1521c918da0
hex144438600

5440243200 has 480 divisors, whose sum is σ = 21132528384. Its totient is φ = 1207664640.

The previous prime is 5440243187. The next prime is 5440243213. The reversal of 5440243200 is 23420445.

It is an interprime number because it is at equal distance from previous prime (5440243187) and next prime (5440243213).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9945327 + ... + 9945873.

Almost surely, 25440243200 is an apocalyptic number.

5440243200 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 5440243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10566264192).

5440243200 is an abundant number, since it is smaller than the sum of its proper divisors (15692285184).

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

5440243200 is a wasteful number, since it uses less digits than its factorization.

5440243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 5440243200 is about 73758.0043113966. The cubic root of 5440243200 is about 1758.7580770261.

Adding to 5440243200 its reverse (23420445), we get a palindrome (5463663645).

The spelling of 5440243200 in words is "five billion, four hundred forty million, two hundred forty-three thousand, two hundred".