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542848768 = 2871127539
BaseRepresentation
bin100000010110110…
…011011100000000
31101211110120111221
4200112303130000
52102432130033
6125511044424
716311065320
oct4026633400
91354416457
10542848768
11259473350
12131970714
13886084b7
145214b280
15329ce12d
hex205b3700

542848768 has 72 divisors (see below), whose sum is σ = 1351002240. Its totient is φ = 211491840.

The previous prime is 542848751. The next prime is 542848799. The reversal of 542848768 is 867848245.

It is a happy number.

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, 5943 + ... + 33481.

It is an arithmetic number, because the mean of its divisors is an integer number (18763920).

Almost surely, 2542848768 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 542848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675501120).

542848768 is an abundant number, since it is smaller than the sum of its proper divisors (808153472).

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

542848768 is a wasteful number, since it uses less digits than its factorization.

542848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27573 (or 27559 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 52.

The square root of 542848768 is about 23299.1151763323. The cubic root of 542848768 is about 815.7547641885.

The spelling of 542848768 in words is "five hundred forty-two million, eight hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 19712 27539 55078 110156 192773 220312 302929 385546 440624 605858 771092 881248 1211716 1542184 1762496 2120503 2423432 3084368 3524992 4241006 4846864 6168736 7049984 8482012 9693728 12337472 16964024 19387456 24674944 33928048 38774912 49349888 67856096 77549824 135712192 271424384 542848768