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540044415 = 3553741293
BaseRepresentation
bin100000001100000…
…110110001111111
31101122012002200000
4200030012301333
52101222410130
6125331005343
716245205341
oct4014066177
91348162600
10540044415
112579283a9
12130a39853
1387b65c11
1451a1b291
1532628260
hex20306c7f

540044415 has 96 divisors (see below), whose sum is σ = 1024785216. Its totient is φ = 272471040.

The previous prime is 540044387. The next prime is 540044431. The reversal of 540044415 is 514440045.

It is not a de Polignac number, because 540044415 - 25 = 540044383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1843009 + ... + 1843301.

It is an arithmetic number, because the mean of its divisors is an integer number (10674846).

Almost surely, 2540044415 is an apocalyptic number.

540044415 is a deficient number, since it is larger than the sum of its proper divisors (484740801).

540044415 is a wasteful number, since it uses less digits than its factorization.

540044415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 540044415 is about 23238.8557162353. The cubic root of 540044415 is about 814.3476104513.

The spelling of 540044415 in words is "five hundred forty million, forty-four thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 27 37 41 45 81 111 123 135 185 205 243 293 333 369 405 555 615 879 999 1107 1215 1465 1517 1665 1845 2637 2997 3321 4395 4551 4995 5535 7585 7911 8991 9963 10841 12013 13185 13653 14985 16605 22755 23733 32523 36039 39555 40959 44955 49815 54205 60065 68265 71199 97569 108117 118665 122877 162615 180195 204795 292707 324351 355995 368631 444481 487845 540585 614385 878121 973053 1333443 1463535 1621755 1843155 2222405 2634363 2919159 4000329 4390605 4865265 6667215 12000987 13171815 14595795 20001645 36002961 60004935 108008883 180014805 540044415