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542843728 = 24717231541
BaseRepresentation
bin100000010110110…
…010001101010000
31101211110022121021
4200112302031100
52102431444403
6125511005224
716311044530
oct4026621520
91354408537
10542843728
1125946a589
12131969814
138860610b
14521494c0
15329cc8bd
hex205b2350

542843728 has 120 divisors (see below), whose sum is σ = 1320502784. Its totient is φ = 211507200.

The previous prime is 542843713. The next prime is 542843729. The reversal of 542843728 is 827348245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542843729) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1003138 + ... + 1003678.

Almost surely, 2542843728 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 542843728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660251392).

542843728 is an abundant number, since it is smaller than the sum of its proper divisors (777659056).

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

542843728 is a wasteful number, since it uses less digits than its factorization.

542843728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 598 counting only the distinct ones).

The product of its digits is 430080, while the sum is 43.

The square root of 542843728 is about 23299.0070174675. The cubic root of 542843728 is about 815.7522395954.

The spelling of 542843728 in words is "five hundred forty-two million, eight hundred forty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 34 56 62 68 112 119 124 136 217 238 248 272 289 434 476 496 527 541 578 868 952 1054 1082 1156 1736 1904 2023 2108 2164 2312 3472 3689 3787 4046 4216 4328 4624 7378 7574 8092 8432 8656 8959 9197 14756 15148 16184 16771 17918 18394 29512 30296 32368 33542 35836 36788 59024 60592 62713 64379 67084 71672 73576 117397 125426 128758 134168 143344 147152 156349 234794 250852 257516 268336 285107 312698 469588 501704 515032 570214 625396 939176 1003408 1030064 1094443 1140428 1250792 1878352 1995749 2188886 2280856 2501584 3991498 4377772 4561712 4846819 7982996 8755544 9693638 15965992 17511088 19387276 31931984 33927733 38774552 67855466 77549104 135710932 271421864 542843728