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540223749 = 3513414397
BaseRepresentation
bin100000001100110…
…010100100000101
31101122112012200000
4200030302210011
52101244124444
6125334511513
716246553232
oct4014624405
91348465600
10540223749
11257a4010a
12130b05599
1387bc9730
1451a66789
1532661469
hex20332905

540223749 has 96 divisors (see below), whose sum is σ = 922905984. Its totient is φ = 313528320.

The previous prime is 540223741. The next prime is 540223759. The reversal of 540223749 is 947322045.

It is not a de Polignac number, because 540223749 - 23 = 540223741 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540223741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5569269 + ... + 5569365.

It is an arithmetic number, because the mean of its divisors is an integer number (9613604).

Almost surely, 2540223749 is an apocalyptic number.

It is an amenable number.

540223749 is a deficient number, since it is larger than the sum of its proper divisors (382682235).

540223749 is a wasteful number, since it uses less digits than its factorization.

540223749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 540223749 is about 23242.7138905938. The cubic root of 540223749 is about 814.4377413417.

The spelling of 540223749 in words is "five hundred forty million, two hundred twenty-three thousand, seven hundred forty-nine".

Divisors: 1 3 9 13 27 39 41 43 81 97 117 123 129 243 291 351 369 387 533 559 873 1053 1107 1161 1261 1599 1677 1763 2619 3159 3321 3483 3783 3977 4171 4797 5031 5289 7857 9963 10449 11349 11931 12513 14391 15093 15867 22919 23571 34047 35793 37539 43173 45279 47601 51701 54223 68757 102141 107379 112617 129519 135837 142803 155103 162669 171011 206271 306423 322137 337851 428409 465309 488007 513033 618813 966411 1013553 1395927 1464021 1539099 1856439 2223143 4187781 4392063 4617297 5569317 6669429 12563343 13176189 13851891 20008287 41555673 60024861 180074583 540223749