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540856524 = 2231331710937
BaseRepresentation
bin100000001111001…
…101000011001100
31101200201100200010
4200033031003030
52101424402044
6125400233220
716255130115
oct4017150314
91350640603
10540856524
1125833256a
1213116b810
138808b760
1451b8d20c
1532738bb9
hex203cd0cc

540856524 has 48 divisors (see below), whose sum is σ = 1363487328. Its totient is φ = 165877248.

The previous prime is 540856507. The next prime is 540856549. The reversal of 540856524 is 425658045.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43984 + ... + 54920.

It is an arithmetic number, because the mean of its divisors is an integer number (28405986).

Almost surely, 2540856524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540856524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681743664).

540856524 is an abundant number, since it is smaller than the sum of its proper divisors (822630804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540856524 is a wasteful number, since it uses less digits than its factorization.

540856524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11274 (or 11272 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The square root of 540856524 is about 23256.3222371896. The cubic root of 540856524 is about 814.7556063980.

The spelling of 540856524 in words is "five hundred forty million, eight hundred fifty-six thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 317 634 951 1268 1902 3804 4121 8242 10937 12363 16484 21874 24726 32811 43748 49452 65622 131244 142181 284362 426543 568724 853086 1706172 3467029 6934058 10401087 13868116 20802174 41604348 45071377 90142754 135214131 180285508 270428262 540856524