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5542241040 = 2432572295417
BaseRepresentation
bin1010010100101011…
…11110001100010000
3112022020201000102200
411022111332030100
542322303203130
62313541243200
7254225162100
oct51225761420
915266630380
105542241040
1123944a57a6
1210a8103500
136a42b358b
143a80d1200
15226865760
hex14a57e310

5542241040 has 360 divisors, whose sum is σ = 22402238040. Its totient is φ = 1222889472.

The previous prime is 5542241021. The next prime is 5542241057. The reversal of 5542241040 is 401422455.

5542241040 is a `hidden beast` number, since 554 + 2 + 2 + 4 + 104 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40755456 + 5501485584 = 6384^2 + 74172^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 5542240995 and 5542241013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1020412 + ... + 1025828.

It is an arithmetic number, because the mean of its divisors is an integer number (62228439).

Almost surely, 25542241040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5542241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201119020).

5542241040 is an abundant number, since it is smaller than the sum of its proper divisors (16859997000).

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

5542241040 is a wasteful number, since it uses less digits than its factorization.

5542241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5542241040 is about 74446.2291859030. The cubic root of 5542241040 is about 1769.6816050868.

Adding to 5542241040 its reverse (401422455), we get a palindrome (5943663495).

The spelling of 5542241040 in words is "five billion, five hundred forty-two million, two hundred forty-one thousand, forty".