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542482038 = 232721135443
BaseRepresentation
bin100000010101011…
…001111001110110
31101210202221110100
4200111121321312
52102333411123
6125455134530
716305010200
oct4025317166
91353687410
10542482038
1125924286a
12131814446
138850a5b7
1452093770
153295a643
hex20559e76

542482038 has 72 divisors (see below), whose sum is σ = 1379629368. Its totient is φ = 153595008.

The previous prime is 542482027. The next prime is 542482079. The reversal of 542482038 is 830284245.

542482038 is a `hidden beast` number, since 542 + 4 + 82 + 0 + 38 = 666.

542482038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 542481993 and 542482011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96945 + ... + 102387.

It is an arithmetic number, because the mean of its divisors is an integer number (19161519).

Almost surely, 2542482038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542482038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689814684).

542482038 is an abundant number, since it is smaller than the sum of its proper divisors (837147330).

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

542482038 is a wasteful number, since it uses less digits than its factorization.

542482038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 542482038 is about 23291.2438053445. The cubic root of 542482038 is about 815.5710241640.

The spelling of 542482038 in words is "five hundred forty-two million, four hundred eighty-two thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 113 126 147 226 294 339 441 678 791 882 1017 1582 2034 2373 4746 5443 5537 7119 10886 11074 14238 16329 16611 32658 33222 38101 48987 49833 76202 97974 99666 114303 228606 266707 342909 533414 615059 685818 800121 1230118 1600242 1845177 2400363 3690354 4305413 4800726 5535531 8610826 11071062 12916239 25832478 30137891 38748717 60275782 77497434 90413673 180827346 271241019 542482038