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542564520 = 233517317839
BaseRepresentation
bin100000010101101…
…110000010101000
31101210221010121020
4200111232002220
52102344031040
6125501012440
716305502521
oct4025560250
91353833536
10542564520
11259299833
12131854120
1388538cc4
14520b5848
1532974cd0
hex2056e0a8

542564520 has 128 divisors (see below), whose sum is σ = 1730937600. Its totient is φ = 135581696.

The previous prime is 542564507. The next prime is 542564527. The reversal of 542564520 is 25465245.

It is not an unprimeable number, because it can be changed into a prime (542564527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 646261 + ... + 647099.

It is an arithmetic number, because the mean of its divisors is an integer number (13522950).

Almost surely, 2542564520 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 542564520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865468800).

542564520 is an abundant number, since it is smaller than the sum of its proper divisors (1188373080).

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

542564520 is a wasteful number, since it uses less digits than its factorization.

542564520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The square root of 542564520 is about 23293.0144034644. The cubic root of 542564520 is about 815.6123567277.

The spelling of 542564520 in words is "five hundred forty-two million, five hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 317 340 408 510 634 680 839 951 1020 1268 1585 1678 1902 2040 2517 2536 3170 3356 3804 4195 4755 5034 5389 6340 6712 7608 8390 9510 10068 10778 12585 12680 14263 16167 16780 19020 20136 21556 25170 26945 28526 32334 33560 38040 42789 43112 50340 53890 57052 64668 71315 80835 85578 100680 107780 114104 129336 142630 161670 171156 213945 215560 265963 285260 323340 342312 427890 531926 570520 646680 797889 855780 1063852 1329815 1595778 1711560 2127704 2659630 3191556 3989445 4521371 5319260 6383112 7978890 9042742 10638520 13564113 15957780 18085484 22606855 27128226 31915560 36170968 45213710 54256452 67820565 90427420 108512904 135641130 180854840 271282260 542564520