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544141248 = 2637537639
BaseRepresentation
bin100000011011101…
…110111111000000
31101220220020110120
4200123232333000
52103300004443
6125554500240
716325060430
oct4033567700
91356806416
10544141248
1125a176412
12132294680
138896b891
14523a62c0
1532b87083
hex206eefc0

544141248 has 112 divisors (see below), whose sum is σ = 1676643840. Its totient is φ = 152515584.

The previous prime is 544141243. The next prime is 544141267. The reversal of 544141248 is 842141445.

544141248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544141243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67413 + ... + 75051.

Almost surely, 2544141248 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 544141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838321920).

544141248 is an abundant number, since it is smaller than the sum of its proper divisors (1132502592).

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

544141248 is a wasteful number, since it uses less digits than its factorization.

544141248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 7704 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The square root of 544141248 is about 23326.8353618745. The cubic root of 544141248 is about 816.4016669189.

The spelling of 544141248 in words is "five hundred forty-four million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 5088 5936 7639 8904 10176 11872 15278 17808 22917 23744 30556 35616 45834 53473 61112 71232 91668 106946 122224 160419 183336 213892 244448 320838 366672 404867 427784 488896 641676 733344 809734 855568 1214601 1283352 1466688 1619468 1711136 2429202 2566704 2834069 3238936 3422272 4858404 5133408 5668138 6477872 8502207 9716808 10266816 11336276 12955744 17004414 19433616 22672552 25911488 34008828 38867232 45345104 68017656 77734464 90690208 136035312 181380416 272070624 544141248