Search a number
-
+
42887080 = 2358811217
BaseRepresentation
bin1010001110011…
…0011110101000
32222200220000101
42203212132220
541434341310
64131115144
71030351135
oct243463650
988626011
1042887080
1122232775
1212442ab4
138b67992
1459a558c
153b7243a
hex28e67a8

42887080 has 32 divisors (see below), whose sum is σ = 96684840. Its totient is φ = 17121280.

The previous prime is 42887071. The next prime is 42887099. The reversal of 42887080 is 8078824.

42887080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 24068836 + 18818244 = 4906^2 + 4338^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34632 + ... + 35848.

Almost surely, 242887080 is an apocalyptic number.

42887080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42887080 is an abundant number, since it is smaller than the sum of its proper divisors (53797760).

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

42887080 is a wasteful number, since it uses less digits than its factorization.

42887080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 42887080 is about 6548.8227949762. The cubic root of 42887080 is about 350.0328676617.

The spelling of 42887080 in words is "forty-two million, eight hundred eighty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 881 1217 1762 2434 3524 4405 4868 6085 7048 8810 9736 12170 17620 24340 35240 48680 1072177 2144354 4288708 5360885 8577416 10721770 21443540 42887080