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542749248 = 263611633
BaseRepresentation
bin100000010110011…
…011001001000000
31101211021112000000
4200112123021000
52102420433443
6125505000000
716310202216
oct4026331100
91354245000
10542749248
112594055a8
12131923000
13885a2102
1452122cb6
15329ae8d3
hex2059b240

542749248 has 98 divisors (see below), whose sum is σ = 1614927174. Its totient is φ = 180900864.

The previous prime is 542749247. The next prime is 542749313. The reversal of 542749248 is 842947245.

It can be written as a sum of positive squares in only one way, i.e., 494973504 + 47775744 = 22248^2 + 6912^2 .

It is not an unprimeable number, because it can be changed into a prime (542749247) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 40840 + ... + 52472.

Almost surely, 2542749248 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 542749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807463587).

542749248 is an abundant number, since it is smaller than the sum of its proper divisors (1072177926).

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

542749248 is an equidigital number, since it uses as much as digits as its factorization.

542749248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11663 (or 11638 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 542749248 is about 23296.9793750177. The cubic root of 542749248 is about 815.7049106010.

The spelling of 542749248 in words is "five hundred forty-two million, seven hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11633 11664 15552 23266 23328 34899 46532 46656 69798 93064 104697 139596 186128 209394 279192 314091 372256 418788 558384 628182 744512 837576 942273 1116768 1256364 1675152 1884546 2233536 2512728 2826819 3350304 3769092 5025456 5653638 6700608 7538184 8480457 10050912 11307276 15076368 16960914 20101824 22614552 30152736 33921828 45229104 60305472 67843656 90458208 135687312 180916416 271374624 542749248