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540857009 = 71137229829
BaseRepresentation
bin100000001111001…
…101001010110001
31101200201101100002
4200033031022301
52101424411014
6125400235345
716255131410
oct4017151261
91350641302
10540857009
11258332970
1213116bb55
138808ba44
1451b8d477
1532738dde
hex203cd2b1

540857009 has 32 divisors (see below), whose sum is σ = 696403200. Its totient is φ = 407773440.

The previous prime is 540856991. The next prime is 540857011. The reversal of 540857009 is 900758045.

It is a cyclic number.

It is not a de Polignac number, because 540857009 - 216 = 540791473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540857039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652007 + ... + 652835.

It is an arithmetic number, because the mean of its divisors is an integer number (21762600).

Almost surely, 2540857009 is an apocalyptic number.

It is an amenable number.

540857009 is a deficient number, since it is larger than the sum of its proper divisors (155546191).

540857009 is a wasteful number, since it uses less digits than its factorization.

540857009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113.

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 540857009 is about 23256.3326644594. The cubic root of 540857009 is about 814.7558499354.

The spelling of 540857009 in words is "five hundred forty million, eight hundred fifty-seven thousand, nine".

Divisors: 1 7 11 37 77 229 259 407 829 1603 2519 2849 5803 8473 9119 17633 30673 59311 63833 93203 189841 214711 337403 652421 1328887 2088251 2361821 7024117 14617757 49168819 77265287 540857009