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540604557 = 3341243277
BaseRepresentation
bin100000001110001…
…111100010001101
31101200020120001000
4200032033202031
52101343321212
6125351010513
716253030403
oct4016174215
91350216030
10540604557
11258180229
12131069a39
1388000b6c
1451b25473
15326d91dc
hex2038f88d

540604557 has 48 divisors (see below), whose sum is σ = 843029440. Its totient is φ = 342195840.

The previous prime is 540604513. The next prime is 540604591. The reversal of 540604557 is 755406045.

It is a happy number.

540604557 is a `hidden beast` number, since 5 + 40 + 60 + 4 + 557 = 666.

It is not a de Polignac number, because 540604557 - 214 = 540588173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540104557) 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 47 ways as a sum of consecutive naturals, for example, 1951503 + ... + 1951779.

Almost surely, 2540604557 is an apocalyptic number.

It is an amenable number.

540604557 is a deficient number, since it is larger than the sum of its proper divisors (302424883).

540604557 is a wasteful number, since it uses less digits than its factorization.

540604557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 540604557 is about 23250.9044340215. The cubic root of 540604557 is about 814.6290642656.

The spelling of 540604557 in words is "five hundred forty million, six hundred four thousand, five hundred fifty-seven".

Divisors: 1 3 9 27 41 43 123 129 277 369 387 831 1107 1161 1681 1763 2493 5043 5289 7479 11357 11911 15129 15867 34071 35733 45387 47601 72283 102213 107199 216849 306639 321597 465637 488351 650547 1396911 1465053 1951641 4190733 4395159 12572199 13185477 20022391 60067173 180201519 540604557