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542005524 = 223228975197
BaseRepresentation
bin100000010011100…
…101100100010100
31101202212201210200
4200103211210110
52102223134044
6125441020500
716300654014
oct4023454424
91352781720
10542005524
11258a47855
12131624730
13883a1738
1451dabc44
15328b4369
hex204e5914

542005524 has 36 divisors (see below), whose sum is σ = 1370806164. Its totient is φ = 180571392.

The previous prime is 542005493. The next prime is 542005531. The reversal of 542005524 is 425500245.

It can be written as a sum of positive squares in 2 ways, for example, as 144720900 + 397284624 = 12030^2 + 19932^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 101694 + ... + 106890.

It is an arithmetic number, because the mean of its divisors is an integer number (38077949).

Almost surely, 2542005524 is an apocalyptic number.

It is an amenable number.

542005524 is an abundant number, since it is smaller than the sum of its proper divisors (828800640).

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

542005524 is a wasteful number, since it uses less digits than its factorization.

542005524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104 (or 8099 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 542005524 is about 23281.0120914019. The cubic root of 542005524 is about 815.3321561279.

Adding to 542005524 its reverse (425500245), we get a palindrome (967505769).

The spelling of 542005524 in words is "five hundred forty-two million, five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2897 5197 5794 8691 10394 11588 15591 17382 20788 26073 31182 34764 46773 52146 62364 93546 104292 187092 15055709 30111418 45167127 60222836 90334254 135501381 180668508 271002762 542005524