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540743797 = 11289149337
BaseRepresentation
bin100000001110110…
…001100001110101
31101200111122001001
4200032301201311
52101412300142
6125354003301
716254150346
oct4016614165
91350448031
10540743797
11258265900
12131116531
138804c359
1451b600cd
15327155b7
hex203b1875

540743797 has 24 divisors (see below), whose sum is σ = 606879000. Its totient is φ = 481367040.

The previous prime is 540743779. The next prime is 540743809. The reversal of 540743797 is 797347045.

It can be written as a sum of positive squares in 4 ways, for example, as 6625476 + 534118321 = 2574^2 + 23111^2 .

It is not a de Polignac number, because 540743797 - 215 = 540711029 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540743897) 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 23 ways as a sum of consecutive naturals, for example, 1604413 + ... + 1604749.

It is an arithmetic number, because the mean of its divisors is an integer number (25286625).

Almost surely, 2540743797 is an apocalyptic number.

It is an amenable number.

540743797 is a deficient number, since it is larger than the sum of its proper divisors (66135203).

540743797 is a wasteful number, since it uses less digits than its factorization.

540743797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 46.

The square root of 540743797 is about 23253.8985333642. The cubic root of 540743797 is about 814.6989978319.

The spelling of 540743797 in words is "five hundred forty million, seven hundred forty-three thousand, seven hundred ninety-seven".

Divisors: 1 11 89 121 149 337 979 1639 3707 10769 13261 18029 29993 40777 50213 145871 329923 552343 1604581 3629153 4468957 6075773 49158527 540743797