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42751720 = 23511473
BaseRepresentation
bin1010001100010…
…1011011101000
32222110000100001
42203011123220
541421023340
64124152344
71026245404
oct243053350
988400301
1042751720
1122150000
12123986b4
138b1b19b
14596c104
153b4729a
hex28c56e8

42751720 has 80 divisors (see below), whose sum is σ = 107259300. Its totient is φ = 15333120.

The previous prime is 42751703. The next prime is 42751763. The reversal of 42751720 is 2715724.

It can be written as a sum of positive squares in 2 ways, for example, as 42693156 + 58564 = 6534^2 + 242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 585604 + ... + 585676.

Almost surely, 242751720 is an apocalyptic number.

42751720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42751720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53629650).

42751720 is an abundant number, since it is smaller than the sum of its proper divisors (64507580).

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

42751720 is an equidigital number, since it uses as much as digits as its factorization.

42751720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 42751720 is about 6538.4799456754. The cubic root of 42751720 is about 349.6642221872.

It can be divided in two parts, 4275 and 1720, that added together give a palindrome (5995).

The spelling of 42751720 in words is "forty-two million, seven hundred fifty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 121 146 220 242 292 365 440 484 584 605 730 803 968 1210 1331 1460 1606 2420 2662 2920 3212 4015 4840 5324 6424 6655 8030 8833 10648 13310 14641 16060 17666 26620 29282 32120 35332 44165 53240 58564 70664 73205 88330 97163 117128 146410 176660 194326 292820 353320 388652 485815 585640 777304 971630 1068793 1943260 2137586 3886520 4275172 5343965 8550344 10687930 21375860 42751720