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542678912 = 2719227983
BaseRepresentation
bin100000010110001…
…001111110000000
31101211010221111222
4200112021332000
52102411211122
6125503254212
716306460156
oct4026117600
91354127458
10542678912
11259367776
121318aa368
13885790a9
14521053d6
1532998b42
hex20589f80

542678912 has 64 divisors (see below), whose sum is σ = 1144195200. Its totient is φ = 255665664.

The previous prime is 542678891. The next prime is 542678953. The reversal of 542678912 is 219876245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 551573 + ... + 552555.

It is an arithmetic number, because the mean of its divisors is an integer number (17878050).

Almost surely, 2542678912 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 542678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572097600).

542678912 is an abundant number, since it is smaller than the sum of its proper divisors (601516288).

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

542678912 is a wasteful number, since it uses less digits than its factorization.

542678912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1231 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 542678912 is about 23295.4697741857. The cubic root of 542678912 is about 815.6696727821.

The spelling of 542678912 in words is "five hundred forty-two million, six hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 227 304 454 608 908 983 1216 1816 1966 2432 3632 3932 4313 7264 7864 8626 14528 15728 17252 18677 29056 31456 34504 37354 62912 69008 74708 125824 138016 149416 223141 276032 298832 446282 552064 597664 892564 1195328 1785128 2390656 3570256 4239679 7140512 8479358 14281024 16958716 28562048 33917432 67834864 135669728 271339456 542678912