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42868944 = 24324153137
BaseRepresentation
bin1010001110001…
…0000011010000
32222122222010200
42203202003100
541433301234
64130455200
71030244226
oct243420320
988588120
1042868944
1122220088
1212434500
138b5c651
14599cb16
153b6bd99
hex28e20d0

42868944 has 120 divisors (see below), whose sum is σ = 126132552. Its totient is φ = 13578240.

The previous prime is 42868907. The next prime is 42868961. The reversal of 42868944 is 44986824.

It can be written as a sum of positive squares in 4 ways, for example, as 3027600 + 39841344 = 1740^2 + 6312^2 .

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 42868944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312844 + ... + 312980.

Almost surely, 242868944 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 42868944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63066276).

42868944 is an abundant number, since it is smaller than the sum of its proper divisors (83263608).

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

42868944 is a wasteful number, since it uses less digits than its factorization.

42868944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 236 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 42868944 is about 6547.4379722148. The cubic root of 42868944 is about 349.9835203125.

The spelling of 42868944 in words is "forty-two million, eight hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 53 72 82 106 123 137 144 159 164 212 246 274 318 328 369 411 424 477 492 548 636 656 738 822 848 954 984 1096 1233 1272 1476 1644 1908 1968 2173 2192 2466 2544 2952 3288 3816 4346 4932 5617 5904 6519 6576 7261 7632 8692 9864 11234 13038 14522 16851 17384 19557 19728 21783 22468 26076 29044 33702 34768 39114 43566 44936 50553 52152 58088 65349 67404 78228 87132 89872 101106 104304 116176 130698 134808 156456 174264 202212 261396 269616 297701 312912 348528 404424 522792 595402 808848 893103 1045584 1190804 1786206 2381608 2679309 3572412 4763216 5358618 7144824 10717236 14289648 21434472 42868944