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4542013440 = 213345372
BaseRepresentation
bin1000011101011100…
…11010000000000000
3102201112121012010000
410032232122000000
533300223412230
62030411040000
7220361322456
oct41656320000
912645535100
104542013440
111a20936a18
12a69140000
13574cc6923
143113249d6
151b8b3bb60
hex10eb9a000

4542013440 has 420 divisors, whose sum is σ = 16734939606. Its totient is φ = 1178468352.

The previous prime is 4542013433. The next prime is 4542013447. The reversal of 4542013440 is 443102454.

It is a happy number.

4542013440 is a `hidden beast` number, since 454 + 201 + 3 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4542013433) and next prime (4542013447).

It can be written as a sum of positive squares in 3 ways, for example, as 4541681664 + 331776 = 67392^2 + 576^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4542013447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 122757102 + ... + 122757138.

Almost surely, 24542013440 is an apocalyptic number.

4542013440 is a gapful number since it is divisible by the number (40) 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 4542013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8367469803).

4542013440 is an abundant number, since it is smaller than the sum of its proper divisors (12192926166).

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

4542013440 is an frugal number, since it uses more digits than its factorization.

4542013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 47 counting only the distinct ones).

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

The square root of 4542013440 is about 67394.4614935085. The cubic root of 4542013440 is about 1656.0856918480.

Adding to 4542013440 its reverse (443102454), we get a palindrome (4985115894).

The spelling of 4542013440 in words is "four billion, five hundred forty-two million, thirteen thousand, four hundred forty".