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542424870 = 233513236719
BaseRepresentation
bin100000010101001…
…011111100100110
31101210200001001000
4200111023330212
52102330043440
6125454014130
716304351421
oct4025137446
91353601030
10542424870
11259203919
121317a7346
13884ba580
145207a9b8
1532948730
hex2054bf26

542424870 has 128 divisors (see below), whose sum is σ = 1625702400. Its totient is φ = 127695744.

The previous prime is 542424859. The next prime is 542424907. The reversal of 542424870 is 78424245.

542424870 is a `hidden beast` number, since 542 + 4 + 2 + 48 + 70 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77371 + ... + 84089.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2542424870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542424870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

542424870 is an abundant number, since it is smaller than the sum of its proper divisors (1083277530).

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

542424870 is a wasteful number, since it uses less digits than its factorization.

542424870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 542424870 is about 23290.0165306940. The cubic root of 542424870 is about 815.5423742433.

The spelling of 542424870 in words is "five hundred forty-two million, four hundred twenty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 27 30 39 45 46 54 65 69 78 90 115 117 130 135 138 195 207 230 234 270 299 345 351 390 414 585 598 621 690 702 897 1035 1170 1242 1495 1755 1794 2070 2691 2990 3105 3510 4485 5382 6210 6719 8073 8970 13438 13455 16146 20157 26910 33595 40314 40365 60471 67190 80730 87347 100785 120942 154537 174694 181413 201570 262041 302355 309074 362826 436735 463611 524082 604710 772685 786123 873470 907065 927222 1310205 1390833 1545370 1572246 1814130 2008981 2318055 2358369 2620410 2781666 3930615 4017962 4172499 4636110 4716738 6026943 6954165 7861230 8344998 10044905 11791845 12053886 13908330 18080829 20089810 20862495 23583690 30134715 36161658 41724990 54242487 60269430 90404145 108484974 180808290 271212435 542424870