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4542337440 = 253451753389
BaseRepresentation
bin1000011101011111…
…01001000110100000
3102201120012122120000
410032233221012200
533300314244230
62030422020000
7220364142204
oct41657510640
912646178500
104542337440
111a21038393
12a69277600
135750ab244
143113aab04
151b8ba2b60
hex10ebe91a0

4542337440 has 480 divisors, whose sum is σ = 17338361040. Its totient is φ = 1115652096.

The previous prime is 4542337433. The next prime is 4542337441. The reversal of 4542337440 is 447332454.

4542337440 is a `hidden beast` number, since 4 + 542 + 3 + 3 + 74 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2507605776 + 2034731664 = 50076^2 + 45108^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 4542337395 and 4542337404.

It is not an unprimeable number, because it can be changed into a prime (4542337441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11676766 + ... + 11677154.

Almost surely, 24542337440 is an apocalyptic number.

4542337440 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 4542337440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669180520).

4542337440 is an abundant number, since it is smaller than the sum of its proper divisors (12796023600).

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

4542337440 is a wasteful number, since it uses less digits than its factorization.

4542337440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The square root of 4542337440 is about 67396.8652089991. The cubic root of 4542337440 is about 1656.1250693189.

Adding to 4542337440 its reverse (447332454), we get a palindrome (4989669894).

The spelling of 4542337440 in words is "four billion, five hundred forty-two million, three hundred thirty-seven thousand, four hundred forty".