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542372740 = 2257132331279
BaseRepresentation
bin100000010100111…
…111001110000100
31101210120101112021
4200110333032010
52102321411430
6125452532524
716304043430
oct4024771604
91353511467
10542372740
11259178738
12131781144
138849c920
14520659c0
153293807a
hex2053f384

542372740 has 96 divisors (see below), whose sum is σ = 1408942080. Its totient is φ = 170781696.

The previous prime is 542372731. The next prime is 542372741. The reversal of 542372740 is 47273245.

It is a junction number, because it is equal to n+sod(n) for n = 542372696 and 542372705.

It is not an unprimeable number, because it can be changed into a prime (542372741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423421 + ... + 424699.

It is an arithmetic number, because the mean of its divisors is an integer number (14676480).

Almost surely, 2542372740 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 542372740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

542372740 is an abundant number, since it is smaller than the sum of its proper divisors (866569340).

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

542372740 is a wasteful number, since it uses less digits than its factorization.

542372740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 542372740 is about 23288.8973547482. The cubic root of 542372740 is about 815.5162473771.

The spelling of 542372740 in words is "five hundred forty-two million, three hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 233 260 364 455 466 910 932 1165 1279 1631 1820 2330 2558 3029 3262 4660 5116 6058 6395 6524 8155 8953 12116 12790 15145 16310 16627 17906 21203 25580 30290 32620 33254 35812 42406 44765 60580 66508 83135 84812 89530 106015 116389 166270 179060 212030 232778 298007 332540 424060 465556 581945 596014 1163890 1192028 1490035 2086049 2327780 2980070 3874091 4172098 5960140 7748182 8344196 10430245 15496364 19370455 20860490 27118637 38740910 41720980 54237274 77481820 108474548 135593185 271186370 542372740