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540849540 = 2235711167701
BaseRepresentation
bin100000001111001…
…011010110000100
31101200201000002110
4200033023112010
52101424141130
6125400141020
716255100550
oct4017132604
91350630073
10540849540
112583282a0
12131167770
138808851a
1451b8a860
1532736ab0
hex203cb584

540849540 has 192 divisors, whose sum is σ = 1902071808. Its totient is φ = 111552000.

The previous prime is 540849523. The next prime is 540849541. The reversal of 540849540 is 45948045.

It is not an unprimeable number, because it can be changed into a prime (540849541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 771190 + ... + 771890.

It is an arithmetic number, because the mean of its divisors is an integer number (9906624).

Almost surely, 2540849540 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 540849540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951035904).

540849540 is an abundant number, since it is smaller than the sum of its proper divisors (1361222268).

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

540849540 is a wasteful number, since it uses less digits than its factorization.

540849540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 540849540 is about 23256.1720839867. The cubic root of 540849540 is about 814.7520994435.

The spelling of 540849540 in words is "five hundred forty million, eight hundred forty-nine thousand, five hundred forty".